academic curriculum vitae of miroslav engliˇsmain areas of scientific activity: analysis on...
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Academic curriculum vitae of Miroslav Englis
Name, surname, titles: Prof. RNDr. Miroslav Englis, DrSc.Born: 30.5.1964 in Prague, Czech RepublicMarital status: marriedNationality: CzechCurrent affiliations: Mathematics Institute, Silesian University, Na Rybnıcku 1, 74601 Opava
& Mathematics Institute, Academy of Sciences, Zitna 25, 11567 Prague 1
1. Academic history:
1982–1987 RNDr. (“Doctor of Natural Sciences”), Faculty of Mathematics and Physics,Charles University, Prague
1987–1990 CSc. (“Candidate of Science” – equivalent of Ph.D.), Mathematics Institute of theCzechoslovak Academy of Sciences, Prague
Jan–Jun 1992 Graduate Teaching Assistant, Kansas State University, USA1991– research assistant/research scientist/leading research scientist,
Mathematics Institute, Academy of Sciences, Prague2001 DrSc. (“Doctor of Sciences”), Academy of Sciences of the Czech Republic, Prague2004 Docent (habilitation), Mathematics Institute, Silesian University, Opava2005– director/deputy director, Mathematics Institute, Silesian University, Opava2006 Professor, Mathematics Institute, Silesian University, Opava
Main areas of scientific activity: analysis on symmetric spaces, several complex variables, com-plex geometry, functional analysis, mathematical physics.
2. Academic service, committee/council memberships:
2005– clen Rady doktorskeho studijnıho oboru Geometrie a topologie, globalnı analyzaa obecne struktury, MFF UK, Praha
2005– clen Oborove rady doktorskeho studijnıho oboru Geometrie, topologie a globalnı analyza,PrF MU Brno
2005– clen Oborove rady doktorskeho studijnıho oboru Matematicka analyza, PrF MU Brno2009– clen Vedecke rady Akademie ved CR2011– prorektor pro vedu a zahranicnı styky, Slezska univerzita v Opave2012– clen Rady Matematickeho ustavu AV CR, v.v.i.2014– clen Narodnıho komitetu pro matematiku pri AV CR2014– clen Komise pro etiku vedecke prace AV CR
3. Awards:
• Prize of the Learned Society of the Czech Republic for Young Scientists, Prague 1997• ISAAC Award, International Society for Analysis, its Applications and Computation (ISAAC),
Berlin 2001• Otto Wichterle Prize, Academy of Sciences of the Czech Republic, Prague 2002• Prize of the Learned Society of the Czech Republic, Prague 2007• 2009 elected member of the Learned Society of the Czech Republic
4. Talks at international conferences and academic institutions abroad:
See the separate list.
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5. Fellowships, visiting positions etc.:
• Cambridge University, Cambridge, England, British Council/Cambridge University Fellow-ship, 1993
• Erwin Schrodinger Institut fur Mathematische Physik, Wien, 1999, 2000, 2005, 2006, 2009,2012
• Universitat Mannheim, Deutsche Forschungsgemeinschaft (DFG), 2001• numerous shorter scientific visits (up to 1 month): Banach Center (Warszawa, 1992), Up-
psala University (Sweden, 1993), Lund University (Sweden, 1992, 1993, 1995, 1996, 1997,1998, 2002), Technical University Karlstad (Sweden, 1998, 1999), University of Wiscon-sin (1997), Washington University, St. Louis (1997), Mathematical Institute PAN (Krakow,1998), Haifa University (Israel, 2001), Concordia University (Canada, 2002, 2003, 2005, 2006,2008, 2010, 2012, 2014), Chalmers Tekniska Hogskola/Goteborg University (Sweden, 2002,2003, 2004, 2006, 2008, 2009, 2010, 2013, 2015), Lorentz Center, Leiden (Netherlands, 2002),Pohang Institute for Science and Technology (South Korea, 2003), Universidad de Chile(2004, 2006), University of Helsinki (2004), Peking University (2006), Nankai MathematicalInstitute (China, 2006), Universite de Provence, Marseille (2010, 2011), Universite Aix deMarseille (2012, 2013, 2014, 2015).
• ESI Senior Research Fellow, Erwin Schrodinger Institut fur Mathematische Physik, Wien,January–April 2007.
• Visiting Professor, Universite de Provence, Marseille, May 2009 (1 month).
6. Citations of publications of M. Englis:
See the separate list.Altogether over 550 citations, about 440 according to SCI.
7. Grants:
See the separate list.
8. Editorial activities:
• Czechoslovak Mathematical Journal (currently Editor-in-Chief), since 2002• Journal of Function Spaces and Applications, member of Editorial Board, Hindawi, since 2002
Publications of Miroslav Englis
[1] M. Englis: A note on Toeplitz operators on Bergman spaces, Comm. Math. Univ. Carolinae 29 (1988)217 – 219.
[2] M. Englis: Some density theorems for Toeplitz operators on Bergman spaces, Czech. Math. Journal 40(1990), 491–502.
[3] M. Englis: A class of weighted composition operators on H2, Cas. Pest. Mat. 115 (1990), 405–423.
[4] M. Englis: Density of algebras generated by Toeplitz operators on Bergman spaces, Arkiv for Matematik30 (1992), 227–243.
[5] M. Englis: Toeplitz operators on Cartan domains essentially commute with a bilateral shift, ProceedingsAmer. Math. Soc. 117 (1993), 365–368.
[6] M. Englis: Functions invariant under the Berezin transform, J. Funct. Anal. 121 (1994), 233–254.
[7] M. Englis: Toeplitz operators and the Berezin transform on H2, Linear Alg. Appl. 223/224 (1995),171–204.
[8] M. Englis: Berezin transform and the Laplace-Beltrami operator, Algebra i Analiz 7 (1995), 176–195;translation in St. Petersburg Math. J. 7 (1996), 633–647.
[9] M. Englis: Asymptotics of reproducing kernels on a plane domain, Proc. Amer. Math. Soc. 123 (1995),3157–3160.
[10] M. Englis, J. Peetre: On the correspondence principle for the quantized annulus, Math. Scand. 78 (1996),183–206.
[11] M. Englis: Asymptotics of the Berezin transform and quantization on planar domains, Duke Math. J. 79(1995), 57–76.
[12] M. Englis: Berezin quantization and reproducing kernels on complex domains, Trans. Amer. Math. Soc.348 (1996), 411–479.
[13] M. Englis, J. Peetre: A Green’s function for the annulus, Annali di Math. Pura Appl. (IV) 171 (1996),313–377.
[14] M. Englis, J. Peetre: Covariant differential operators and Green functions, Ann. Polon. Math. LXVI(1997), 77–103.
[15] M. Englis, J. Peetre: Covariant Cauchy-Riemann operators and higher Laplacians on Kahler manifolds,J. reine angew. Math. 478 (1996), 17–56.
[16] M. Englis, J. Peetre: Green’s functions for powers of the invariant Laplacian, Canadian J. Math. 50 (1998),40-73.
[17] M. Englis: A Loewner-type lemma for weighted biharmonic operators, Pacific J. Math. 179 (1997), 343–353.
[18] M. Englis: Asymptotic behaviour of reproducing kernels of weighted Bergman spaces, Trans. Amer. Math.Soc. 349 (1997), 3717–3735.
[19] M. Englis: Invariant operators and the Berezin transform on Cartan domains, Math. Nachrichten 195(1998), 61-75.
[20] M. Englis: Weighted biharmonic Green functions for rational weights, Glasgow Math. J. 41 (1999), 239-269.
[21] M. Englis: Asymptotic behaviour of reproducing kernels, Berezin quantization and mean-value theorems.In: S. Saitoh, D. Alpay, J.A. Ball, T. Ohsawa (editors), Reproducing kernels and their applications, pp.53–64. International Society for Analysis, Applications and Computation, Vol. 3. Kluwer Acad. Publ.,Dordrecht, 1999.
[22] M. Englis: A mean value theorem on bounded symmetric domains, Proc. Amer. Math. Soc. 127 (1999),3259-3268.
[23] M. Englis: Compact Toeplitz operators via the Berezin transform on bounded symmetric domains, IntegralEq. Oper. Theory 33 (1999), 426-455; Erratum, ibid. 34 (1999), 500-501.
[24] M. Englis: A Forelli-Rudin construction and asymptotics of weighted Bergman kernels, J. Funct. Anal.177 (2000), 257–281.
[25] M. Englis: The asymptotics of a Laplace integral on a Kahler manifold, J. reine angew. Math. 528 (2000),1-39.
[26] M. Englis: Zeroes of the Bergman kernel of Hartogs domains, Comm. Math. Univ. Carolinae 41 (2000),199-202.
[27] M. Englis, J. Peetre: Green functions and eigenfunction expansions for the square of the Laplace-Beltramioperator on plane domains, Annali di Matematica Pura Appl. 181 (2002), 463-500.
[28] C. Ambrozie, M. Englis, V. Muller: Operator tuples and analytic models over general domains in Cn,J. Oper. Theory 47 (2002), 287-302.
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[29] M. Englis, S.C. Hille, J. Peetre, H. Rosengren, G. Zhang: A new kind of Hankel-Toeplitz type operator,Arab J. Math. Sci. 6 (2000), 49–80.
[30] J. Arazy, M. Englis: Iterates and the boundary behaviour of the Berezin transform, Ann. Inst. Fourier(Grenoble) 51 (2001), 1101–1133.
[31] M. Englis: Pseudolocal estimates for ∂ on general pseudoconvex domains, Indiana Univ. Math. J. 50(2001), 1593–1607.
[32] M. Englis: Weighted Bergman kernels and quantization, Comm. Math. Phys. 227 (2002), 211-241.
[33] M. Englis: Green functions for powers of the Laplace-Beltrami operator. In: M. Cwikel, M. Englis,A. Kufner, L.-E. Persson, G. Sparr (editors), Function spaces, interpolation theory and related topics(Lund, 2000), pp. 285–309. Walter de Gruyter, Berlin-New York, 2002.
[34] J. Arazy, M. Englis: Analytic models for commuting operator tuples on bounded symmetric domains,Trans. Amer. Math. Soc. 355 (2003), 837-864.
[35] M. Englis: A no-go theorem for nonlinear canonical quantization, Comm. Theor. Phys. 37 (2002),287–288.
[36] S.T. Ali, M. Englis: Quantization methods: a guide for physicists and analysts, Rev. Math. Phys. 17(2005), 391-490.
[37] M. Englis, D. Lukkassen, J. Peetre, L.-E. Persson: On the formula of Jacques-Louis Lions for reproducingkernels of harmonic and other functions, J. reine angew. Math. 570 (2004), 89–129.
[38] M. Englis: A review of (Berezin and other) quantization methods. In: J.-P. Gazeau, R. Kerner, J.-P. An-toine, S. Metens, J.-Y. Thibon (editors), GROUP 24: Physical and Mathematical Aspects of Symmetries(Proceedings of the 24th International Colloquium on Group Theoretical Methods in Physics, Paris 2002),pp. 73–80. Conference Series 173, IOP Publishing, Bristol-Philadelphia, 2003.
[39] M. Englis: Some problems in operator theory on bounded symmetric domains. In: Representations of Liegroups, harmonic analysis on homogeneous spaces and quantization (G. van Dijk and V.F. Molchanov, eds.)(Leiden, 2002), Acta Appl. Math. 81 (2004), 51–71.
[40] M. Englis, T. Hanninen, J. Taskinen: Minimal L∞-type spaces on strictly pseudoconvex domains on whichthe Bergman projection is continuous, Houst. J. Math. 32 (2006), 253–275.
[41] M. Englis: Berezin-Toeplitz quantization and invariant symbolic calculi, Lett. Math. Phys. 65 (2003),59–74.
[42] M. Englis: Berezin-Toeplitz quantization on the Schwartz space of bounded symmetric domains, J. LieTheory 15 (2005), 27–50.
[43] M. Englis: Operator models and Arveson’s curvature invariant. In: K. Jarosz and A. Soltysiak (editors),Topological Algebras, their Applications, and Related Topics (Bedlewo, 2003), Banach Center Publica-tions 67, PAN, Warszawa 2005, pp. 171–183.
[44] M. Englis: Some variations on the Berezin quantization method. In: J. Govaerts, M.N. Hounkonnou,A.M. Msezane (editors), Proceedings of the Third Workshop on Contemporary Problems in MathematicalPhysics (CoProMaPh3, Cotonou, Benin, November 2003), World Scientific, Singapore, 2004, pp. 450–464.
[45] M. Englis, G. Zhang: On the Faraut-Koranyi hypergeometric functions in rank two. Ann. Inst. Fourier(Grenoble) 54 (2004), 1855–1875.
[46] S.T. Ali, M. Englis, J.-P. Gazeau: Vector Coherent States from Plancherel’s Theorem, Clifford Algebrasand Matrix Domains, J. Phys. A: Math. Gen. 37 (2004), 6067–6089.
[47] M. Englis: A characterization of symmetric domains, J. Math. Kyoto Univ. 46 (2006), 123–146.
[48] J. Bonet, M. Englis, J. Taskinen: Weighted L∞-estimates for Bergman projections. Studia Math. 171(2005), 67–92.
[49] M. Englis, G. Zhang: On a generalized Forelli-Rudin construction, Complex Variables Ellipt. Eqs. 51(2006), 277–294.
[50] M. Englis, G. Zhang: On the derivatives of the Berezin transform. Proc. Amer. Math. Soc. 134 (2006),2285–2294.
[51] M. Englis: Qp-spaces: generalizations to bounded symmetric domains, in: Complex Analysis and itsApplications (Y. Wang, S. Wu, H. Wulan and L. Yang, editors), proceedings of the 13th ICFIDCAA(Shantou, 2005), World Scientific, Singapore, 2006, pp. 53–71.
[52] M. Englis: Berezin and Berezin-Toeplitz quantizations for general function spaces. Rev. Mat. Complut.19 (2006), 385–430.
[53] S.-T. Ali, M. Englis: Berezin-Toeplitz quantization over matrix domains, in: Contributions in Mathemat-ical Physics. A tribute to Gerard G. Emch (S. Twareque Ali and Kalyan B. Sinha, editors), pp. 1–36,Hindustan Book Agency, New Delhi, 2007 (xviii + 217 pages).
[54] M. Englis: Toeplitz operators and group representations, J. Fourier Anal. Appl. 13 (2007), 243–265.
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[55] M. Englis: Berezin transforms on pluriharmonic Bergman spaces, Trans. Amer. Math. Soc. 361 (2009),1173-1188.
[56] M. Englis: Weighted Bergman kernels and balanced metrics, RIMS Kokyuroku 1487 (2006), 40–54.
[57] M. Englis, J. Taskinen: Deformation quantization and Borel’s theorem in locally convex spaces, StudiaMath. 180 (2007), 77–93.
[58] M. Englis: Toeplitz operators and localization operators, Trans. Amer. Math. Soc. 361 (2009), 1039-1052.
[59] M. Englis: Toeplitz operators and weighted Bergman kernels, J. Funct. Anal. 255 (2008), 1419–1457.
[60] S. Twareque Ali, M. Englis: A matrix-valued Berezin-Toeplitz quantization, J. Math. Phys. 48 (2007),053504, 14 pp.
[61] J. Arazy, M. Englis: Qp-spaces on bounded symmetric domains, J. Funct. Spaces Appl. 6 (2008), 205–240.
[62] J. Arazy, M. Englis, W. Kaup: Holomorphic retractions and boundary Berezin transforms, Ann. Inst.Fourier 59 (2009), 641-657.
[63] M. Englis: Singular Berezin transforms, Complex Anal. Oper. Theory 1 (2007), 533–548.
[64] M. Englis: Boundary behaviour of the Bergman invariant and related quantities, Monatsh. Math. 154(2008), 19-37.
[65] M. Englis, K. Guo, G. Zhang: Toeplitz and Hankel operators and Dixmier traces on the unit ball of Cn,Proc. Amer. Math. Soc. 137 (2009), 3669–3678.
[66] M. Englis, G. Zhang: Ramadanov conjecture and line bundles over compact Hermitian symmetric spaces,Math. Z. 264 (2010), 901–912.
[67] M. Englis, R. Otahalova: Covariant derivatives of the Berezin transform, Trans. Amer. Math. Soc. 363(2011), 5111–5129.
[68] M. Englis: Weighted Bergman kernels for logarithmic weights, Pure Appl. Math. Quarterly (Kohn specialissue) 6 (2010), 781–813.
[69] M. Englis, R. Rochberg: The Dixmier trace of Hankel operators on the Bergman space, J. Funct. Anal.257 (2009), 1445–1479.
[70] M. Englis, H. Upmeier: Toeplitz quantization and asymptotic expansions for real bounded symmetricdomains, Math. Z. 268 (2011), 931–967.
[71] M. Englis, H. Upmeier: Toeplitz quantization and asymptotic expansions: geometric construction, SIGMA 5(2009), 021, 30 pages.
[72] M. Englis, G. Zhang: Hankel operators and the Dixmier trace on strictly pseudoconvex domains, Docum.Math. 15 (2010), 601–622.
[73] M. Englis: Berezin transform on the harmonic Fock space, J. Math. Anal. Appl. 367 (2010), 75–97.
[74] M. Englis: Analytic continuation of weighted Bergman kernels, J. Math. Pures Appl. 94 (2010), 622–650.
[75] M. Englis, H. Upmeier: Toeplitz quantization and asymptotic expansions: Peter-Weyl decomposition,Integ. Eqs. Oper. Theory 68 (2010), 427–449.
[76] M. Englis, H. Upmeier: Real Berezin Transform and Asymptotic Expansion for Symmetric Spaces of Com-pact and Non-compact Type, in: Recent Progress in Operator Theory and Its Applications (J.A. Ball,R.E. Curto, S.M. Grudsky, J.W. Helton, R. Quiroga-Barranco, N.L. Vasilevski, editors), pp. 97-114, Op-erator Theory: Advances and Applications vol. 220, Birkhauser, Basel - Dordrecht - Heidelberg - Boston- New York, 2010.
[77] H. Bommier-Hato, M. Englis, E.-H. Youssfi: Bergman-type projections on generalized Fock spaces, J.Math. Anal. Appl. 389 (2012), 1086–1104.
[78] S.-T. Ali, M. Englis: Wigner transform and pseudodifferential operators on symmetric spaces of non-compact type, J. Phys. A: Math. Theor. 44 (2011), 215206 (17 pp).
[79] H. Bommier-Hato, M. Englis, E.-H. Youssfi: Dixmier trace and the Fock space, Bull. Sci. Math. 138(2014), 199–224.
[80] M. Englis: Boundary singularity of Poisson and harmonic Bergman kernels, J. Math. Anal. Appl. 429(2015), 233–272.
[81] M. Englis: An excursion into Berezin-Toeplitz quantization and related topics, in: Quantization, PDEs,and Geometry (D. Bahns, W. Bauer, I. Witt, editors), pp. 69–115, Operator Theory Advances and Appli-cations 251, Birkhauser, 2016.
[82] M. Englis, H. Upmeier: Asymptotic expansions for Toeplitz operators on symmetric spaces of general type,Trans. Amer. Math. Soc. 367 (2015), 423–476.
[83] H. Bommier-Hato, M. Englis, E.-H. Youssfi: Dixmier classes on generalized Segal-Bargmann-Fock spaces,J. Funct. Anal. 266 (2014), 2096-2124.
[84] H. Bommier-Hato, M. Englis, E.-H. Youssfi: Analytic continuation of Toeplitz operators, J. Geom. Anal.25 (2015), 2323–2359.
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[85] M. Englis, J. Eschmeier: Geometric Arveson-Douglas conjecture, Adv. Math. 274 (2015), 606–630;corrigendum, ibid. 278 (2015), 254.
[86] S.-T. Ali, M. Englis: Hermite polynomials and quasi-classical asymptotics, J. Math. Phys. 55 (2014),042102.
[87] M. Englis, K. Falk, B. Iochum: Spectral triples and Toeplitz operators, J. Noncomm. Geom. 9 (2015),1041–1076.
[88] M. Englis, H. Xu: Forelli-Rudin construction and asymptotic expansion of Szego kernel on Reinhardtdomains, Osaka J. Math. 52 (2015), 905–929.
[89] H. Bommier-Hato, M. Englis, E.-H. Youssfi: Bergman kernels, TYZ expansions and Hankel operators onthe Kepler manifold, J. Funct. Anal. 271 (2016), 264–288.
[90] S.-T. Ali, M. Englis: Orthogonal polynomials, Laguerre Fock space and quasi-classical asymptotics,J. Math. Phys. 56 (2015), 072109.
[91] M. Englis: High-power asymptotics of some weighted harmonic Bergman kernels, J. Funct. Anal. 271(2016), 1243–1261.
[92] M. Englis: Sobolev spaces on bounded symmetric domains, Complex Vars. Ellipt. Eqs. 60 (2015),1712-1726.
[93] M. Englis, G. Zhang: Hankel operators and the Dixmier trace on the Hardy space, J. London Math. Soc.,to appear.
[94] S.H.H. Chowdhury, S.-T. Ali, M. Englis: Noncommutative coherent states and related aspects of Berezin-Toeplitz quantization, submitted.
List of talks of Miroslav Englis
1. Talks at international conferences and academic institutions abroad:
a) talks at international conferences
Legend: ♠ = plenary talk??? = invited talk, all expenses covered (including airfare);?? = invited talk, all expenses covered except travel;? = invited talk, but some local expenses not covered;– = talk as an ordinary participant.
– Inner-outer factorization of operators and Density of Toeplitz operators on Bergman space,FAS 23, Alsovice, Czech Republic 1988
? Functions invariant under the Berezin transform, Banach Centennial, Warszawa, 1992? Berezin transform on the annulus: some open problems, Miniconference on Bounded Sym-
metric Domains and Hankel operators, Lund, Sweden, 1993– Toeplitz operators and the Berezin transform, FAS 26, Paseky, Czech Republic 1993? Correspondence principle for the quantized annulus, Miniconference on Bounded Symmetric
Domains and Hankel operators, Lund, Sweden, 1994? Asymptotic behaviour of reproducing kernels of weighted Bergman spaces, Miniconference on
Bounded Symmetric Domains and Hankel operators, Lund, Sweden, 1996– On an inequality involving the Bergman shift, Workshop on Functional Analysis and its Ap-
plications, Nemecka, Slovakia, 1997? Asymptotic behavior of reproducing kernels, Berezin quantization and mean-value theorems,
AMS Central Sectional Meeting, Milwaukee, 1997– An analytic model for commuting operator tuples, 2nd Workshop on Functional Analysis and
its Applications, Nemecka, Slovakia, 1999?? ♠ Reproducing kernels and mean value properties, Conference celebrating 90 years of the
reproducing kernel property, Krakow, 2000– An analytic model for commuting operator tuples, International Conference on Abstract Anal-
ysis (ICAA 2000), South Africa, 2000?? ♠ Berezin quantization on pseudoconvex domains, XIX-th Workshop on Geometric Methods
in Physics, Bialowieza, Poland, 2000?? Reproducing kernels and mean value properties, Function Spaces, Interpolation and Related
Topics, Lund, Sweden, 2000? Some aspects of the Berezin transform, XX-th Workshop on Geometric Methods in Physics,
Bialowieza, Poland, 2001– Iterates, fixed points and the boundary behaviour of the Berezin transform, 3rd ISAAC Con-
gress, Berlin, 2001– Analytic models for commuting operator tuples II, 3rd Workshop on Functional Analysis and
its Applications, Nemecka, Slovakia, 2001?? ♠ A review of (Berezin and other) quantization methods in physics, 24th International Collo-
quium on Group Theoretical Methods in Physics (GROUP 24), Paris, 2002??? Some problems in operator theory on symmetric domains, Lorentz Center, Leiden, 2002??? ♠ Some aspects of Bergman kernels, Hayama Conference on Several Complex Variables,
Tokyo, 2002– Minimal L∞-type spaces on which the Bergman projection is continuous, International Con-
ference on Abstract Analysis (ICAA 2003), South Africa, 2003– Operator models and Arveson’s curvature invariant, 4th Workshop on Functional Analysis
and its Applications, Nemecka, Slovakia, 2003
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?? ♠ Some variations on the Berezin quantization method, Contemporary problems in Mathe-matical Physics (COPROMAPH3), Cotonou, Benin, 2003
?? ♠ A characterization of symmetric domains, Hayama Conference on Several Complex Vari-ables, Tokyo, 2003
??? ♠ Qp spaces on bounded symmetric domains, 13th International Conference on Finite orInfinite Dimensional Complex Analysis and Applications (ICFIDCAA), Shantou, China, 2005
?? Toeplitz operators and group representations, 36th All-Iranian Mathematical Conference(AIMC36), Yazd, Iran, 2005
??? Harmonic and pluriharmonic Berezin transforms, Complex Analysis from the GeometricViewpoint, Leipzig, 2005
??? ♠ Bergman kernels: boundary behaviour, quantization, and related topics, RIMS Kyoto,Japan, 2005
??? ♠ Harmonic and pluriharmonic Berezin transforms, Hayama Symposium on Several ComplexVariables, 2005
??? Toeplitz operators and group representations, British Mathematical Colloquium (BMC06),Newcastle upon Tyne, 2006
??? ♠ Bergman spaces and group representations (also a session talk: Toeplitz operators andSegal-Bargmann analysis), FMS conference on Analytic Function Spaces, Joensuu/Helsinki,Finland, 2006
??? ♠ A matrix-valued Berezin-Toeplitz quantization and Deformation quantization and locallyconvex spaces (two lectures), Toeplitz operator theory and deformation quantization, CTQM,Aarhus, Denmark, 2007
– Toeplitz operators and Segal-Bargmann analysis, Trends in Harmonic Analysis, Strobl, Aus-tria, 2007
?? ♠ Toeplitz operators and weighted Bergman kernels, Hayama Symposium on Several ComplexVariables, Japan, 2007
??? Toeplitz operators from various viewpoints, Workshop on the Riemann-Hilbert problem andToeplitz operators, ICMS, Edinburgh, 2007
– Group representations, Toeplitz operators and modulation spaces, Nemecka, Slovensko, 2007?? Covariant derivatives of the Berezin transform, Recent Progress in Operator Theory and
Function Theory, CIRM Luminy, Marseille, 2008??? ♠ Toeplitz operators, weighted Bergman kernels, and Dixmier traces, Function Spaces and
Their Operators, St. Louis, USA, 2008?? Ramadanov conjecture and line bundles over compact symmetric spaces, Workshop on prob-
lems related to Bergman kernels, Beijing, China, 2008?? Ramadanov conjecture and line bundles over compact symmetric spaces, School and Confer-
ence on Differential Geometry, ICTP Trieste, Italy, 2008? ♠ Generalized Toeplitz operators and weighted Bergman kernels, Workshop on Complex and
CR Geometry, Partial Differential Equations and Invariant Theory, Prague, 2008?? Hankel operators and the Dixmier class, Theorie spectrale des operateurs et applications,
CIRM Luminy, Marseille, 2008? Toeplitz quantization on real symmetric domains, EQuaLS2, Kuala Lumpur, Malaysia, 2008
??? ♠ Toeplitz quantization on real symmetric domains, 37th Seminar Sophus Lie, Paderborn,Germany, 2009
?? ♠ The many faces of Berezin transform (3 lectures), IMM09: Harmonic Analysis and PartialDifferential Equations, Marrakech, Morocco, 2009
?? Hankel operators and the Dixmier trace, MFO Oberwolfach, 2009??? ♠ The many faces of Berezin transform (4 lectures), Workshop in Analysis and its Applica-
tions, Indian Institute of Science, Bangalore, 2009? Hankel operators and the Dixmier trace, Canadian Mathematical Society Summer 2009 Meet-
ing, St John’s, Canada, 2009
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– Toeplitz quantization on real symmetric domains, Conference on Time-Frequency, Strobl,Austria, 2009
– Berezin transform on the harmonic Fock space, ISAAC Congress 2009, London, 2009?? Toeplitz quantization on real symmetric domains, 3rd International Conference on Geometry
and Quantization (GEOQUANT), Luxembourg, 2009??? ♠ Toeplitz quantization on real symmetric domains, International Workshop on Operator
Theory and Applications (IWOTA09), Guanajuato, Mexico, 2009; (also section talk “Hankeloperators and the Dixmier trace”)
?? Analytic continuation of weighted Bergman kernels, Erwin Schrodinger Institut, Wien, 2009? Harmonic Bergman kernels and Berezin transforms, Recent Advances in Function Related
Operator Theory (RAFROT), Rincon, Puerto Rico, 2010?? Analytic continuation of weighted Bergman kernels, CIRM Luminy, Marseille, 2010??? ♠ Berezin transform on the harmonic Fock space, Functions and Operators 2010, Krakow,
2010?? The Peter-Weyl decomposition for Toeplitz quantizations, Multivariate Operator Theory,
BIRS, Banff, Canada, 2010??? ♠ Peter-Weyl decomposition of Toeplitz quantizations, Seminar Sophus Lie 40, Marburg, 2011??? Wigner transform on symmetric spaces, Harmonic and Complex Analysis and its Applica-
tions, Wien, 2011?? Harmonic Bergman kernels and Berezin transforms, Complex and Riemannian Geometry
(KAWA), CIRM Luminy, Marseille, 2011– Wigner transform on symmetric spaces, Canadian Mathematical Society Summer 2011 Meet-
ing, Edmonton, Canada, 2011??? ♠ An excursion into Berezin-Toeplitz quantization and related topics (4 lectures), Analysis
with Applications to Mathematical Physics, Gottingen, 2011??? ♠ Boundary behaviour of harmonic Bergman kernels and Hankel operators and the Dixmier
trace, Tambara Workshop on the Bergman kernel and Related Topics, Tambara, Japan, 2011? Dixmier trace on Bergman spaces, Workshop on Toeplitz Operators, Vaxjo, Sweden, 2012?? Analytic continuation of weighted Bergman kernels, Erwin Schrodinger Institut, Wien, 2012– Dixmier trace on the Fock space, Canadian Operator Symposium, Kingston, Canada, 2012? Quantization, deformation and orthogonal polynomials, APCWQIS6-EQuaLS6, Kuala Lumpur,
Malaysia, 2012??? ♠ Quantization, deformation and orthogonal polynomials, Conference on the occasion of Mar-
tin Schlichenmaier’s 60th birthday, Luxembourg, 2012?? ♠ Toeplitz and Hankel operators on weighted Fock spaces, Hilbert Function Spaces, Gargnano,
Italy, 2013? Dixmier trace for Toeplitz and Hankel operators on weighted Fock spaces, 26th Nordic Con-
gress of Mathematicians, Lund, Sweden, 2013? Spectral triples and Toeplitz operators, GEOQUANT13, Erwin Schrodinger Institut, Wien,
2013– Arveson-Douglas conjecture and Toeplitz operators, Canadian Mathematical Society Winter
2013 Meeting, Ottawa, Canada, 2013?? ♠ Arveson-Douglas conjecture and Toeplitz operators, MFO Oberwolfach, 2014– Coherent states and orthogonal polynomials, Modern Time-Frequency Analysis, Strobl, Aus-
tria, 2014??? ♠ Analytic continuation of Toeplitz operators, Function Spaces and Harmonic Analysis, CIRM
Luminy, Marseille, 2014?? ♠ The Fock space, quantization, and Hermite (and other) polynomials, Recent Advances in
Operator Theory and Operator Algebras (OTOA 2014), ISI Bangalore, India, 2014?? Analytic continuation of Toeplitz operators, Multivariable Operator Theory, BIRS, Banff,
Canada, 2015
4
? High-power asymptotics of weighted harmonic Bergman kernels, Nordan2015, Reykjavik, 2015?? Orthogonal Polynomials, Laguerre Fock Space and Quasi-classical Asymptotics, GeoQuant,
Madrid, 2015?? ♠ Deformation quantization and applications to noncommutative geometry (5 lectures),
EQuaLS8, Kuala Lumpur, Malaysia, 2016– High-power asymptotics of weighted harmonic Bergman kernels, Nordan2016, Stockholm,
2016– A Tian-Yau expansion for harmonic kernels, Geometric Analysis in Control and Vision The-
ory, Voss, Norway, 2016– Laguerre polynomials, Barut-Girardello Fock space, and Toeplitz operators, Time-Frequency
Analysis and Related Topics, Strobl, Austria, 2016
5
b) lectures (some of them invited) at universities and scientific institutions abroad
• Mean value theorems and operator theory, Lund University, Sweden, 1992• Toeplitz and essentially Toeplitz operators, Lund University, Sweden, 1992• Toeplitz operators and the Berezin transform, Lancaster University, Lancaster, UK, 1993• A new approach to Toeplitz symbol calculus on H2, Lund University, Sweden, 1993• Berezin quantization, reproducing kernels, and the Poincare metric on complex domains,
Lund University, Sweden, 1995• Biharmonic Green functions and the factorization in the Bergman space, Lund University,
Sweden, 1995• Three algebras of differential operators on a Kahler manifold, Mathematical Colloquium,
University of Lund, Sweden, 1996• Weighted biharmonic Green functions and an inequality for the Bergman shift, University of
Wisconsin at Madison, 1997• Weighted biharmonic Green functions and an inequality for the Bergman shift, Washington
University, St. Louis, 1997• Weighted Bergman kernels, the Berezin transform and Kahler geometry on strongly pseudo-
convex domains, University of Lund, Sweden 1998• Weighted Bergman kernels, Instytut Matematyki PAN, Krakow, 1998• Weighted Bergman kernels and quantization, Erwin Schrodinger Institut, Wien, 1999• The ∂-Neumann problem in unbounded domains, ESI Program on Complex Analysis, Erwin
Schrodinger Institut, Wien, 2000• An analytic model for commuting operator tuples, University of Haifa, Israel, 2001• Bergman kernels and quantization, Universitat Mannheim, 2001• Some aspects of the Bergman kernels and the Berezin transform, Colloquium talk for the
Finnish Mathematical Society, Helsinki, 2001• Analytic models for commuting operator tuples, Lund University, Sweden, 2002• A review of (Berezin and other) quantization methods, Centre de Recherches Mathematiques
(CRM), Montreal, Canada, 2002• Operator models on bounded symmetric domains, Chalmers TH/Goteborg University, Sweden,
2002• A review of (Berezin and other) quantization methods, Lund, Sweden, 2002• Deformation quantization and operator calculi, Concordia University, Montreal, Canada, 2003• Bergman kernels and quantization (3 lectures), Pohang Institute for Science and Technology,
South Korea, 2003• Berezin quantization: a crossroad of complex analysis, PDE, and mathematical physics, San-
tiago de Chile, 2004• Forelli-Rudin estimates in several complex variables, University of Helsinki/Finnish Mathe-
matical Society, 2004• Some applications of the Forelli-Rudin estimates, Chalmers Tekniska Hogskola/Goteborg Uni-
versity, 2004• On the derivatives of the Berezin transform, Erwin Schrodinger Institut, Wien, IV 2005• Berezin-Toeplitz quantization over matrix domains, Concordia University, Montreal, 2005• Qp-spaces on bounded symmetric domains, Erwin Schrodinger Institut, Wien, X 2005• Berezin-Toeplitz quantization over matrix domains, Universita Catolica, Santiago de Chile,
2006• Toeplitz operators and Segal-Bargmann analysis, Concordia University, Montreal, 2006• (Pluri)harmonic Berezin transforms on bounded symmetric domains, Erwin Schrodinger In-
stitut, Wien, 2006• Toeplitz operators, localization operators, and operator calculi on symmetric spaces; Some
new approaches in Berezin-Toeplitz quantization; Toeplitz operators and weighted Bergmankernels, (3 lectures), Peking University, China, 2006
6
• Some new approaches in Berezin-Toeplitz quantization, Nankai Mathematical Institute, Tian-jin, China, 2006
• Toeplitz operators and weighted Bergman kernels, Chalmers TH/Goteborg University, Swe-den, 2006
• Analysis on Complex Symmetric Spaces (three-month lecture course), Erwin SchrodingerInstitut, Wien, 2007
• Toeplitz operators and weighted Bergman kernels, Universitat Wien, 2007• Hankel operators and the Dixmier class, University of Newcastle upon Tyne, UK, 2008• Toeplitz quantization on real symmetric domains, Concordia University, Montreal, Canada,
2008• Hankel operators and the Dixmier class, Chalmers Tekniska Hogskola/Goteborg University,
Sweden, 2008• Berezin transform on the harmonic Fock space, Universite de Provence, Marseille, 2009• Weighted Bergman kernels for logarithmic weights, Chalmers Tekniska Hogskola-Goteborg
University, Sweden, 2009• Hankel operators and the Dixmier trace, Lund University, Sweden, 2009• The Peter-Weyl decomposition for Toeplitz quantizations, Concordia University, Montreal,
Canada, 2010• Analytic continuation of weighted Bergman kernels, Chalmers Tekniska Hogskola-Goteborg
University, Sweden, 2010• Berezin-Toeplitz operators and the Dixmier trace, CPT, Universite Aix Marseille, France,
2012• Arveson-Douglas conjecture and Toeplitz operators, Universitat des Saarlandes, Saarbrucken,
Germany, 2014• High-power asymptotics of weighted harmonic Bergman kernels, Chalmers Tekniska Hogskola-
Goteborg University, 2015• Quantization and asymptotic expansions, Universitat Marburg, Germany, 2016
Citations of publications of Miroslav Englis
• K. Zhu: Operator Theory in Function Spaces. Marcel Dekker, New York, 1992. Cites [1],[2],[4].
• P. Ahern, M. Flores, W. Rudin: An invariant-volume-mean value property, J. Funct. Anal. 111 (1993),380–397. Cites [CSc].
• C.A. Berger, L.A. Coburn: Heat Flow and Berezin-Toeplitz estimates. Amer. J. Math. 116 (1994), 563–590.Cites [2].
• I. Netuka, J. Vesel: Mean value property and harmonic functions. Classical and modern potential theoryand applications (Chateau de Bonas, 1993), 359–398, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 430,Kluwer Acad. Publ., Dordrecht, 1994. Cites [6].
• D. Zheng: Semi-commutators of Toeplitz operators on the Bergman space, Int. Eq. Oper. Theory 25 (1996),347–372. Cites [6].
• Z. Cuckovic: Commuting Toeplitz operators on the Bergman space of an annulus, Michigan Math. J. 43(1996), 355–365. Cites [6].
• L.-E. Persson: Kirchhoff’s equation for anisotropic infinite plate, Appl. Math. 42 (1997), 213–232. Cites [13].
• J. Peetre, G. Zhang: Invariant Cauchy-Riemann operators and relative discrete series of line bundles over theunit ball of Cd, Michigan Math. J. 45 (1998), 387–397. Cites [15].
• R.M. Kauffman: Eigenfunction expansions, operator algebras and Riemannian symmetric spaces. Longman,Harlow, 1996. Cites [19].
• J. Arazy: A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains, Contemp.Math. 185 (1996), 7–65. Cites [10].
• D. Zheng: Commuting Toeplitz operators with pluriharmonic symbols, Trans. Amer. Math. Soc. 350 (1998),1595–1618. Cites [6].
• C.L. Jiang, K.Y. Guo: The strong irreducibility of hyponormal operators and Berezin perturbation. Acta Sci.Math. (Szeged) 64 (1998), 231–248. Cites [4].
• S. Axler, D. Zheng: The Berezin transform on the Toeplitz algebra. Studia Math. 127 (1998), 113–136.Cites [6].
• W. Lusky: On approximation by Toeplitz operators. Acta Univ. Carolin. Math. Phys. 39 (1998), 137–146.Cites [4].
• K. Guo: Indices, characteristic numbers and essential commutants of Toeplitz operators. Ark. Mat. 38(2000), 97-110. Cites [4],[5].
• H. Hedenmalm, S. Jakobsson, S. Shimorin: An Hadamard maximum principle for biharmonic operators withapplications to Bergman spaces. ESI-preprint no. 712; submitted to Acta Math. Cites [17],[20].
• S. Axler, J. Lech: Fixed points of the Berezin transform on multiply connected domains, preprint. Cites [6].
• F. Holland, R. Rochberg: Bergman kernel asymptotics for generalized Fock spaces, J. Anal. Math. 83 (2001),207–242. Cites [12],[18].
• F. Holland, R. Rochberg: Bergman kernels and Hankel forms on generalized Fock spaces. In: Function Spaces,Contemp. Math. 232, AMS, Providence 1999. Cites [12],[18],[23],[24].
• E.B. Davies: Lp spectral theory of higher order elliptic differential operators, Bull. London Math. Soc. 29(1997), 513–546. Cites [13].
• J. Lee: An invariant mean value property in the polydisc, Illinois J. Math. 42 (1998), 406–419. Cites [6].
• J. Gustavsson: Some sums of Legendre and Jacobi polynomials, Math. Bohem. 126 (2001), 141–149.Cites [16].
• M. Schlichenmaier: Berezin-Toeplitz quantization and Berezin symbols for arbitrary compact Kaehler mani-folds. In: Coherent states, quantization, and gravity (Bialowieza, 1998), M. Schliechemaier, A. Strasburger,S.T. Ali, A. Odzijewicz (editors), Warsaw University Press, 2001, pp. 45–56. Cites [10],[11],[12].
• T. Nomura: Invariant Berezin transforms, in: M.A. Picardello (ed.), Harmonic analysis and integral geometry(Safi, Morocco, 1998), Chapman and Hall/CRC Press, Boca Raton, 2001. Cites [6],[7],[8],[12].
• T. Natsume, R. Nest: Topological approach to quantum surfaces, Comm. Math. Phys. 202 (1999), 65–87.Cites [2].
• J. Lee: The iteration of the Berezin transform in the polydisc, Complex Variables Theory Appl. 36 (1998),347-359.
• J. Arazy, B. Ørsted: Asymptotic expansions of Berezin transforms, Indiana Univ. Math. J. 49 (2000), 7–30.Cites [11],[12], [15],[19].
• H. Hedenmalm, B. Korenblum, K. Zhu: Theory of Bergman spaces. Graduate Texts in Math., Springer-Verlag,Berlin-Heidelberg-New York, 2000. Cites [CSc],[6],[17],[20].
• G. Zhang: Tensor product of minimal holomorphic representations, Represent. Theory 5 (2001), 164–190.Cites [29].
• A.V. Karabegov, M. Schlichenmaier: Identification of Berezin-Toeplitz deformation quantization, J reineangew. Math. 540 (2001), 49–76. Cites [25].
2
• H. Boas: Lu Qi-Keng’s problem, J. Korean Math. Soc. 37 (2000), 253-267. Cites [18].
• B. Hall: Harmonic analysis with respect to heat kernel measure, Bull. Amer. Math. Soc. 38 (2001), 43–78.Cites [18].
• T. Nomura: Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains, Diff. Geom.Appl. 15 (2001), 91–106. Cites [8],[19].
• M. Schlichenmaier: Berezin-Toeplitz quantization and Berezin transform, in: Long time behaviour of classicaland quantum systems (Bologna, 1999), 271–287, Ser. Concr. Appl. Math. 1, World Scientific 2001. Cites[10],[11],[12],[32].
• M. Skwarczynski, T. Mazur: Wstepne twierdzenia teorii funkcji wielu zmiennych zespolnych. KrzystofBiesaga, Warszawa, 2001. Cites [5],[9],[12],[19],[22],[23].
• P. Ahern, Z. Cuckovic: A theorem of Brown-Halmos type for Bergman space Toeplitz operators, J. Funct.Anal. 187 (2001), 200-210. Cites [8].
• J. Faraut: Integrales de Riesz sur un espace symetrique ordonne. In: Geometry and analysis on finite- andinfinite-dimensional Lie groups (Bedlewo, 2000), pp. 289–308, Banach Center Publ. 55, Polish Acad. Sci.,Warsaw, 2002. Cites [22].
• G.Zhang: Invariant differential operators on symmetric spaces and their eigenvalues, Israel J. Math. 119(2000), 157–185. Cites [15].
• J. Arazy, H. Upmeier: Invariant symbolic calculi and eigenvalues of invariant operators on symmetric domains,in: M. Cwikel, M. Englis, A. Kufner, L.-E. Persson, G. Sparr (editors): Function spaces, interpolation theoryand related topics, (Lund, 2000), Walter de Gruyter, Berlin, 2002, pp. 151–211. Cites [19].
• N.P. Landsman: Mathematical topics between classical and quantum mechanics, Springer, Berlin-Heidelberg-New York, 1998. Cites [12].
• S.A. Pol’shin: Classical limit of the Kepler problem and the contraction of phase space, submitted to J. Phys.A. Cites [12].
• J. Arazy, G. Zhang: Homogeneous multiplication operators on bounded symmetric domains, submitted to J.Func. Anal. Cites [28].
• C.H. Mancera, P.J. Paul: Properties of generalized Toeplitz operators, Integral Eq. Oper. Theory 40 (2001),106–126. Cites [23].
• R. Roknizadeh, H.-D. Doebner: Geometric formulation of Berezin quantization, Proc. Inst. Math. NAS Ukr.(2001). Cites [12], [18].
• R. Roknizadeh: . . . [in Persian], Iranian J. Phys. (2002?). Cites [12], [18].
• R. Roknizadeh: Geometrisierung der Quantenmechanik durch Berezin-Quantisierung, Ph.D. thesis, TU Claus-thal, Clausthal 1999. Cites [12], [18].
• A. Karabegov: A covariant Poisson deformation quantization with separation of variables up to the thirdorder, Lett. Math. Phys. 61 (2002), 255–261. Cites [25].
• G. van Dijk: On canonical representations and Berezin kernels. In: Geometry and analysis on infinite-dimensional Lie groups (Bedlewo, 2000), pp. 253–268, Banach Center Publ. 55, PAN, Warszawa 2002.Cites [6],[10],[11],[12],[19].
• C. Ambrozie, D. Timotin: A von Neumann type inequality for certain domains in Cn, Proc. Amer. Math.Soc. 131 (2003), 859–869. Cites [28].
• C. Badea, G. Cassier: Constrained von Neumann inequalities, Adv. Math. 166 (2002), 260–297. Cites [28].
• K. Guo: The Fredholm index formula for Toeplitz operators on strongly pseudoconvex domains and relatedproblems, Chinese Ann. Math. Ser. A 17 (1996), 347–352. Cites [4]??.
• G. Zhang: Shimura invariant differential operators and their eigenvalues, Math. Ann. 319 (2001), 235–265.Cites [15].
• G. Zhang: Invariant differential operators on symmetric cones and Hermitian symmetric spaces, Acta Appl.Math. 73 (2002), 79-94. Cites [15],[25].
• L. Gross: Strong hypercontractivity and relative subharmonicity, J. Funct. Anal. 190 (2002), 38-92. Cites [12].
• N. Zorboska: The Berezin transform and radial operators, Proc. Amer. Math. Soc. 131 (2003), 793–800.Cites [6].
• S. Axler: Berezin transform, in: Encyclopedia of Mathematics, Supplement Volume III, Kluwer (2001), 67-68.Cites [6].
• A. Aleman, H. Hedenmalm, S. Richter: Recent progress and open problems in the Bergman space. In: Quad-rature domains and their applications, pp. 27–59, Oper. Theory Adv. Appl. 156, Birkhauser, Basel, 2005.Cites [17],[20].
• J. Kamimoto: Newton polyhedra and the Bergman kernel. Math. Z. 246 (2004), 405-440. Cites [24],[32].
• T. Nomura: Cayley transforms and symmetry conditions for homogeneous Siegel domains, Adv. Stud. PureMath. 37 (2002), 253–265. Cites [8].
• T. Nomura: A symmetry characterization for homogeneous Siegel domains related to Berezin transforms.In: A. Strasburger (ed.), Geometry and analysis on Lie groups (Bedlewo, 2000), Banach Center Publ. 55,Warszawa, 2002, pp. 323–334. Cites [8].
3
• J. Miao, D. Zheng: Compact operators on Bergman spaces. Integral Eq. Oper. Theory 48 (2004), 61–79.Cites [23].
• G. Zhang: Nearly holomorphic functions and relative discrete series of weighted L2-spaces on bounded sym-metric domains, J. Math. Kyoto Univ. 42 (2002), 207–221. Cites [15].
• L. Coburn: A Lipschitz estimate for Berezin’s operator calculus, Proc. Amer. Math. Soc. 133 (2005),127–131. Cites [23].
• D. Ehsani: Analysis of the ∂-Neumann problem along a straight edge. Math. Ann. 330 (2004), 93-105.Cites [31].
• A. Loi: A Laplace integral on a Kaehler manifold and Calabi’s diastasis function, Diff. Geom. Appl. 23(2005), 55–66. Cites [12],[24],[25].
• A. Loi: The Tian-Yau-Zelditch asymptotic expansion for real analytic Kahler matrics, Int. J. Geom. Meth.Modern Phys. 1 (2004), 253–263. Cites [25].
• B.G. Bodmann: A construction of Berezin-Toeplitz operators via Schrodinger operators and the probabilisticrepresentation of Berezin-Toeplitz semigroups based on planar Brownian motion. Math. Phys. Anal. Geom.5 (2002), 287-306. Cites [11].
• H. Hedenmalm, S. Jakobsson, S. Shimorin: A biharmonic maximum principle for hyperbolic surfaces. J. reineangew. Math. 550 (2002), 25-75. Cites [17],[20].
• N. Das: Norm of Toeplitz operators on the Bergman space. Indian J. Pure Appl. Math. 33 (2002), 255-267.Cites [6].
• M.T. Karaev: Berezin symbols and Schatten-von Neumann classes. Math. Notes 72 (2002), 185-192. Cites [7].
• Z. ukovic: Berezin versus Mellin. J. Math. Anal. Appl. 287 (2003), 234–243. Cites [CSc].
• M. Kim: Local regularity of the ∂-Neumann operator, Houston J. Math. 32 (2006), 863–869. Cites [31].
• G. Sardanashvily, G. Giachetta: What is geometry in quantum theory. Int. J. Geom. Meth. Modern Phys.1 (2004), 1–22. Cites [12].
• H.J. Schmidt, J. Schnack: Symmetric polynomials in physics. In: J.-P. Gazeau, R. Kerner, J.-P. Antoine,S. Metens, J.-Y. Thibon: Group 24: Physical and mathematical aspects of symmetries (Paris, 2002), pp. 147–152. Inst. Phys. Conf. Series 173, IOP Publishing 2003. Cites [38].
• G.D.Raikov, M.Dimassi: Spectral asymptotics for quantum Hamiltonians in strong magnetic fields. CuboMat. Educac. 3 (2001), 317–391. Cites [24].
• K. Guo, J. Hu, X. Xu: Toeplitz algebras, subnormal tuples and rigidity on reproducing C[z1, . . . , zd]-modules.J. Funct. Anal. 210 (2004), 214–247. Cites [28],[34].
• G. Roos: Weighted Bergman kernels and virtual Bergman kernels, Science in China, Ser. A, Suppl. S 48(2005), 225–237. Cites [24].
• G. Giachetta, L. Mangiarotti, G. Sardanashvily: Geometric and algebraic topological methods in quantummechanics. World Scientific, 2005. Cites [12].
• S. Twareque Ali, F. Bagarello: Some Physical Appearances of Vector Coherent States and CS Related toDegenerate Hamiltonians, J. Math. Phys. 46 (2005) Art.no.053518; arXiv:quant-ph/0410151. Cites [46].
• D. Suarez: Approximation and symbolic calculus for Toeplitz algebras on the Bergman space. Rev. Mat.Iberoamer. 20 (2004), 563–610. Cites [CSc].
• D. Suarez: The Toeplitz algebra on the Bergman space coincides with its commutator ideal. J. OperatorTheory 51 (2004), 105–114. Cites [CSc].
• K.S. Nam, D. Zheng, C. Zhong: m-Berezin transform and compact operators, Rev. Mat. Iberoam. 22 (2006),867–892. Cites [23].
• K. Nam, D. Zheng: m-Berezin transform on the polydisk, Integ. Eqs. Oper. Theory 56 (2006), 93-113.Cites [23].
• B.R. Choe, Y.J. Lee, K. Nam, D. Zheng: Products of Bergman space Toeplitz operators on the polydisk,Math. Ann. 337 (2007), 295–316. Cites [23].
• K.Y. Guo: Defect operators for submodules of Hd(2), J. reine angew. Math. 573 (2004), 181-209. Cites [4].
• K.Y. Guo: Defect operators, defect functions and defect indices for analytic submodules, J. Funct. Anal. 213(2004), 380-411. Cites [4],[28].
• K.Y. Guo, R.W. Yang: The core function of submodules over the bidisk, Indiana Univ. Math. J. 53 (2004),205-222. Cites [4].
• X. Fang: Additive invariants on the Hardy space over the polydisc, J. Funct. Anal. 253 (2007), 359–372.Cites [43].
• P. Ahern, Z. Cuckovic: Products of Toeplitz operators on the Bergman space, Illinois J. Math. 45 (2001),113–121. Cites [8].
• J. Eschmeier, M. Putinar: On bounded analytic extension in Cn. In: Spectral theory and its applications,pp. 87–94, Theta Ser. Adv. Math. 2, Theta, Bucharest, 2003. Cites [28].
• W. Lusky: Fourier analysis of operators on Hilbert spaces of holomorphic functions. In: Function spaces,pp. 175–189, World Scientific, River Edge, 2003. Cites [4].
4
• A. Weinstein, M. Zambon: Variations on prequantization, Travaux mathematiques. Fasc. XVI, pp. 187–219,Univ. Luxemb., Luxembourg, 2005. Cites [32].
• X. Chen, K. Guo: Analytic Hilbert modules. CRC Research Notes in Mathematics 433, Chapman & Hall,2003. Cites [28].
• M. Jarnicki, P. Pflug: Invariant distances and metrics in complex analysis - revisited, Dissert. Math. 430(2005). Cites [18],[26].
• D. Suarez: Approximation and the n-Berezin transform of operators on the Bergman space, J. reine angew.Math. 581 (2005), 175–192. Cites [CSc],[4].
• P. Duren, A. Schuster: Bergman spaces. AMS, Providence, 2004. Cites [17],[20].
• F. Cuccu, A. Loi: Global symplectic coordinates on complex domains, J. Geom. Phys. 56 (2006), 247–259.Cites [12].
• N. Landsman: Lie grupoids and Lie algebroids in physics and noncommutative geometry, J. Geom. Phys. 56(2006), 24–54. Cites [36].
• M. Jasiczak: On boundary behaviour of the Bergman projection on pseudoconvex domains, Studia Math. 166(2005), 243–261. Cites [24],[40].
• J. Kim, M.W. Wong: Invariant mean value property and harmonic functions, Complex Var. Theory Appl.50 (2005), 1049–1059. Cites [6].
• K. Thirulogasanthar, A.L. Hohoueto: Vector coherent states on Clifford algebras, Theor. Math. Phys. 143(2005), 494–504. Cites [46].
• K. Thirulogasanthar, G. Honnouvo, A. Krzyzak: Multi-matrix vector coherent states, Ann. Phys. 314 (2004),119–144. Cites [46].
• K. Thirulogasanthar, A.L. Hohoueto: Vector coherent states with matrix moment problems, J. Math. Phys.A 37 (2004), 9531–9548. Cites [46].
• A. Loi: A Laplace integral, the T-Y-Z expansion, and Berezin’s transform on a Kahler manifold, Int. J. Geom.Meth. Modern Phys. 2 (2005), 359–371. Cites [25],[47].
• A. Loi: Regular quantizations of Kahler manifolds and constant scalar curvature mertics, J. Geom. Phys. 53(2005), 354–364. Cites [12],[25].
• S.H. Ferguson, R. Rochberg: Higher order Hilbert-Schmidt Hankel forms and tensors of analytic kernels,Math. Scand. 96 (2005), 117–146. Cites [29].
• G. Sweers: When is the first eigenfunction for the clamped plate equation of fixed sign?, Electron. J. Diff.Eqns. 6(2001), 285-296. Cites [13].
• S. Weyers: Lq-solutions to the Cosserat spectrum in bounded and exterior domains, Ph.D. thesis, Bayreuth2005. Cites [37].
• D. Suarez: The essential norm of operators in the Toeplitz algebra on Ap(Bn), Indiana Univ. Math. J. 56(2007), 2185–2232. Cites [CSc],[4],[23].
• R.W. Yang: The core operator and congruent submodules, J. Funct. Anal. 228 (2005), 469–489. Cites [28],[34].
• A. Loi: Bergman and balanced metrics on complex manifolds, Int. J. Geom. Meth. Modern Phys. 2 (2005),553–561. Cites [47].
• K.Y. Guo, D. Zheng: The distribution function inequality for a finite sum of finite products of Toeplitzoperators, J. Funct. Anal. 218 (2005), 1–53. Cites [7].
• J.P. Gazeau, W. Piechocki: Coherent state quantization of a particle in de Sitter space, J. Phys. A: Math.Gen. 37 (2004), 6977–6986. Cites [DrSc].
• M. Karaev: On the Berezin symbol, J. Math. Sci. 115 (2003), 2135–2140. Cites [7].
• E. Leichtnam, X. Tang, A. Weinstein: Poisson geometry and deformation quantization near a strictly pseu-doconvex boundary, J. Europ. Math. Soc. 9 (2007), 681–704. Cites [32].
• T. Yu: Compact operators on the weighted Bergman space A1(ψ), Studia Math. 177 (2006), 277–284.Cites [23].
• B. Li: The Berezin transform and Laplace-Beltrami operator, J. Math. Anal. Appl. 327 (2007), 1155–1166.Cites [50].
• C. Liu: A “deformation estimate” for the Toeplitz operators on harmonic Bergman spaces, Proc. Amer.Math. Soc. 135 (2007), 2867–2876. Cites [32],[44].
• K. Thirulogasanthar, A. Krzyzak, G. Honnouvo: Reproducing kernels and coherent states on Julia sets, Math.Phys. Anal. Geom. 10 (2007), 297–312. Cites [46].
• C. Liu: Iterates of certain Berezin-type transform, J. Math. Anal. Appl. 329 (2007), 822–829. Cites [CSc],[30].
• J. Faraut, M. Pevzner: Berezin kernels and analysis on Makarevich spaces, Indag. Math. 16(2005), 461-486.Cites [22].
• J.-P. Gazeau, F.X. Michaux, P. Monceau: Finite dimensional quantizations of the (q,p) plane: New spaceand momentum (or quadratures) inequalities, Int. J. Modern Phys. B 20 (2006), 1778-1791. Cites [46].
• A. Olofsson: A characteristic operator function for the class of n-hypercontractions, J. Funct. Anal. 236(2006), 517–545. Cites [28],[34].
5
• K. Koufany, G. Zhang: Hua operators and Poisson transform for bounded symmetric domains, J. Funct.Anal. 236 (2006), 546–580. Cites [15].
• B. Choe, H. Koo: Zero products of Toeplitz operators with harmonic symbols, J. Funct. Anal. 233 (2006),307–334. Cites [23].
• J.-D. Park: Bounded Toeplitz products on the Bergman space of the unit ball in Cn, Integ. Eqs. Op. Theory54 (2006), 571–584. Cites [23].
• T. Bhattacharyya, J. Sarkar: Characteristic function for polynomially contractive commuting tuples, J. Math.Anal. Appl. 321 (2006), 242–259. Cites [28].
• A. Karabegov: Deformation quantization of a Kahler-Poisson structure vanishing on a Levi nondegeneratehypersurface, in: G. Dito G; J.H. Lu, Y. Maeda, A. Weinstein (editors), Proc. 5th International Conferenceon Poisson Geometry in Mathematics and Physics (Japan, 2006), Contemp. Math. 450, AMS, Providence,2008, pp. 163–171. Cites [32].
• T. Haenninen, J. Taskinen: Atomic decomposition of a weighted inductive limit in Cn, Mediterr. J. Math. 2(2005), 277-290. Cites [40].
• W. Yin: Lu Qi-Keng conjecture and Hua domain, Science in China Ser. A - Math. 51 (2008), 803–818.Cites [26].
• A. Loi: Calabi’s diastasis function for Hermitian symmetric spaces, Diff. Geom. Appl. 24 (2006), 311-319.Cites [47].
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14
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Altogether over 550 citations, about 440 according to SCI.
Third-party funding of Miroslav Englis
a) foreign
• grant Magnusons foundation (Civilingenjor Gustaf Sigurd Magnusons fond for framjande avvetenskapen inom amnet matematik), w/o registration number, 1994–1995 (with J. Peetre,Lund University, Sweden)
• grant Kungliga Vetenskapsakademien (Swedish Royal Academy of Sciences), 2002–2003, withG. Zhang (Chalmers TH/Goteborg University)
b) domestic (Czech Republic)
• grant CSAV no. 11916, 1991–1992 (chief investigator: P. Vrbova)• grant GA AV CR no. 119106, 1993–1995 (chief investigator: V. Muller)• grant GA CR no. 201/96/0411, 1996–1998 (chief investigator: V. Muller)• grant GA AV CR no. C1019601, 1996• grant GA AV CR no. A1019701, 1997–1999• grant GA CR no. 201/00/0208, 2000–2002 (chief investigator: V. Muller)• grant GA AV CR no. A1019005, 2000–2002• grant GA AV CR no. A1019304, 2003–2006• grant GA CR no. 201/03/0041, 2003–2005• grant GA CR no. 201/03/H152, 2003–2007 (chief investigator: J. Smıtal)• grant GA CR no. 201/06/0128, 2006–2008 (chief investigator: V. Muller)• grant GA AV CR no. IAA100190802, 2008–2011• grant GA CR no. 201/12/0426, 2012–2015• Center-of-Excellence grant GA CR no. 201/12/G028 (chief investigator: J. Rosicky)• grant GA CR no. 16-25995S, 2016–2018c) international collaboration grants funded by bilateral agreements
• EGIDE/Barrande grant MEB02118 (Czech Republic – France), 2011–2012