Recent Titles in This Series

163 L . A . Bokut' , M . Hazewinkel , an d Yu. G . Reshetnyak , Thir d Siberia n Schoo l "Algebr a an d Analysis"

162 S . G . Gindikin , Editor , Applie d Problem s o f Rado n Transfor m

161 Katsum i Nomizu , Editor , Selecte d Paper s o n Analysis , Probability , an d Statistic s

160 K . Nomizu , Editor , Selecte d Paper s o n Numbe r Theory , Algebrai c Geometry , an d Differentia l

Geometry

159 O . A . Ladyzhenskaya , Editor , Proceeding s o f th e St . Petersbur g Mathematica l Society , Volum e I I

158 A . K . Kelmans , Editor , Selecte d Topic s i n Discret e Mathematics : Proceeding s o f th e Mosco w

Discrete Mathematic s Seminar , 1972-199 0

157 M . Sh . Birman , Editor , Wav e Propagation . Scatterin g Theor y

156 V . N. Gerasimov , N . G . Nesterenko , an d A. I . Valitskas , Thre e Paper s o n Algebra s an d Thei r

Representations

155 O . A . Ladyzhenskay a an d A. M. Vershik , Editors , Proceeding s o f th e St . Petersbur g Mathematica l

Society, Volum e I

154 V . A. Artamono v e t al. , Selecte d Paper s i n ^-Theor y

153 S . G . Gindikin , Editor , Singularit y Theor y an d Som e Problem s o f Functiona l Analysi s

152 H . Draskovicov a e t al. , Ordere d Set s an d Lattice s I I

151 I . A . Aleksandrov , L . A . Bokut' , an d Yu. G . Reshetnyak , Editors , Secon d Siberia n Winte r Schoo l

"Algebra an d Analysis "

150 S . G . Gindikin , Editor , Spectral Theor y o f Operator s

149 V . S. Afraimovic h e t al. , Thirtee n Paper s i n Algebra , Functiona l Analysis , Topology , an d

Probability, Translate d fro m th e Russia n

148 A . D . Aleksandrov , O . V . Belegradek, L . A . Bokut' , an d Yu. L . Ershov , Editors , Firs t Siberia n

Winter Schoo l "Algebr a an d Analysis "

147 I . G . Bashmakov a e t al. , Nin e Paper s fro m th e Internationa l Congres s o f Mathematicians , 198 6

146 L . A . Aizenber g e t al. , Fiftee n Paper s i n Comple x Analysi s

145 S . G . Dalalya n e t al. , Eigh t Paper s Translate d fro m th e Russia n

144 S . D . Berma n e t al. , Thirtee n Paper s Translate d fro m th e Russia n

143 V . A. Belonogo v e t al. , Eigh t Paper s Translate d fro m th e Russia n

142 M . B . Abalovich e t al. , Te n Paper s Translate d fro m th e Russia n

141 H . Draskovicov a e t al. , Ordere d Set s an d Lattice s

140 V . I. Berni k e t al. , Eleve n Paper s Translate d fro m th e Russia n

139 A . Ya . Aizenshta t e t al. , Ninetee n Paper s o n Algebrai c Semigroup s

138 I . V . Kovalishina an d V. P. Potapov, Seve n Paper s Translate d fro m th e Russia n

137 V . I. Arnol' d e t al. , Fourtee n Paper s Translate d fro m th e Russia n

136 L . A . Aksent'e v e t al. , Fourtee n Paper s Translate d fro m th e Russia n

135 S . N . Artemo v e t al. , Si x Paper s i n Logi c

134 A . Ya . Aizenshta t e t al. , Fourtee n Paper s Translate d fro m th e Russia n

133 R . R . Sunchelee v e t al. , Thirtee n Paper s i n Analysi s

132 I . G . Dmitriev e t al. , Thirtee n Paper s i n Algebr a

131 V . A. Zmorovic h e t al. , Te n Paper s i n Analysi s

130 M . M . Lavrent'ev , K . G . Reznitskaya , an d V. G. Yakhno , One-dimensiona l Invers e Problem s o f

Mathematical Physic s

129 S . Ya . Khavinson , Tw o Paper s o n Extrema l Problem s i n Comple x Analysi s

128 I . K . Zhu k e t al. , Thirtee n Paper s i n Algebr a an d Numbe r Theor y

127 P . L. Shabali n e t al. , Eleve n Paper s i n Analysi s

126 S . A . Akhmedo v e t al. , Eleve n Paper s o n Differentia l Equation s

125 D . V. Anosov e t al. , Seve n Paper s i n Applie d Mathematic s {Continued in the back of this publication)

This page intentionally left blank

American Mathematica l Societ y

TRANSLATIONS Series 2 • Volum e 16 3

Third Siberia n Schoo l

Algebra an d Analysi s Proceedings o f the Third Siberia n Schoo l Irkutsk Stat e University , Irkuts k 1989

L. A. Bokut ' M. Hazewinke l Yu. G . Reshetnya k Editors

|| America n Mathematica l Societ y Providence, Rhod e Islan d

http://dx.doi.org/10.1090/trans2/163

Translation edite d b y DAUSA ZVIRENAITE an d SIMEO N IVANO V

Library o f Congres s Cataloging-in-Publicatio n Dat a

Siberian Schoo l "Algebr a an d Analysis " (3r d : 198 9 : Irkuts k Stat e University) . [Algebra i analiz. English ] Third Siberia n Schoo l "Algebr a an d Analysis " : proceeding s o f th e Thir d Siberia n School , Irkuts k

State University , Irkutsk , 198 9 / L . A . Bokut' , M . Hazewinkel , Yu . G . Reshetnyak , editors ; [translatio n edited b y Daus a Zvirenait e an d Simeo n Ivanov] .

p. cm . — (America n Mathematica l Societ y translations , ISS N 0065-9290 ; ser . 2 , v . 163. ) Meeting hel d Aug . 30-Sept . 4 , 1989 . Includes bibliographica l references . ISBN 0-8218-0286- 0 (acid-free ) 1. Algebra—Congresses . 2 . Mathematica l analysis—Congresses . I . Bokut , L . A . (Leoni d A.) ,

1937- . II . Hazewinkel , Michiel . III . Reshetmak , IUri i Grigor'evich . IV . Zvirenaite , Dausa . V. Ivanov, Simeon . VI . Title . VII . Series : America n Mathematica l Societ y translations ; ser . 2 , v . 163 . VIII. Serie s QA3.A572 ser . 2 , vol . 16 3 [QA150] 510 s—dc20 [512] 94-4014 4

CIP

Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s actin g fo r them , are permitte d t o mak e fai r us e o f the material , suc h a s t o cop y a n articl e fo r us e in teachin g o r research . Permission i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews , provide d th e customar y acknowledgment o f th e sourc e i s given .

Republication, systemati c copying , o r multipl e reproductio n o f an y materia l i n thi s publicatio n (in -cluding abstracts ) i s permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Request s for suc h permissio n shoul d be addresse d t o th e Manage r o f Editoria l Services , America n Mathematica l Society, P.O . Bo x 6248 , Providence , Rhod e Islan d 02940-6248 . Request s ca n als o b e mad e b y e-mai l t o r e p r i n t -permiss ion@math . ams . org .

The appearanc e o f th e cod e o n th e first pag e o f a n articl e i n thi s publicatio n (includin g abstracts ) indicates th e copyrigh t owner' s consen t fo r copyin g beyon d tha t permitte d b y Section s 10 7 or 10 8 of th e U.S. Copyrigh t Law , provide d tha t th e fe e o f $1.0 0 plu s $.2 5 pe r pag e fo r eac h cop y b e pai d directl y t o the Copyrigh t Clearanc e Center , Inc. , 222 Rosewood Drive , Danvers , Massachusett s 01923 . Thi s consen t does no t exten d t o othe r kind s o f copying , suc h a s copyin g fo r genera l distribution , fo r advertisin g o r promotional purposes , fo r creatin g ne w collectiv e works , o r fo r resale .

© Copyrigh t 199 5 b y th e America n Mathematica l Society . Al l right s reserved . Printed i n th e Unite d State s o f America .

The America n Mathematica l Societ y retain s al l right s except thos e grante d t o th e Unite d State s Government .

@>The pape r use d i n thi s boo k i s acid-fre e an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability .

LJ Printe d o n recycle d paper .

This volum e wa s typese t usin g Aj^S-T^X, the America n Mathematica l Society' s Tg X macr o system .

10 9 8 7 6 5 4 3 2 1 9 9 9 8 9 7 9 6 9 5

Contents

For th e article , Boolean-Value d Introduction t o th e Theor y o f Vec -tor Lattices , p . 103 , th e autho r lin e should rea d A . G . Kusrae v an d S . S . Kutateladze. Th e secon d autho r wa s inadvertently omitted .

On th e II I Siberia n Schoo l "Algebr a an d Analysis" , Irkutsk , Augus t 30-September 4 , 198 9 Yu. G . RESHETNYA K an d L . A . BOKUT ' vi i

Quasiderivations i n Diagona l Matri x Algebra s A. Z . ANAN'I N 1

L? Atiyah-Bott-Lefschet z Theore m A. EFREMO V 7

Topological Structur e o f ^-saddl e Surface s V V GLAZYRI N 2 9

On Uniquenes s o f Reconstructio n o f th e For m o f Conve x an d Visibl e Bodies fro m Thei r Projection s V R GOLUBYATNIKO V 3 5

On Subalgebra s o f Maxima l Ran k o f Semisimpl e Li e Algebra s P YA . GRUSHK O an d L . A . OSIPENK O 4 7

Algebraic Principle s o f Buildin g Mathematica l Structure s V K . IONI N 6 1

On th e Absenc e o f Sullivan' s Cus p Finitenes s Theore m i n Highe r Dimensions MICHAEL KAPOVIC H 7 7

The Variet y o f Al l Ring s Ha s Higman' s Propert y G. KUKI N * 9 1

Boolean-Valued Introductio n t o th e Theor y o f Vecto r Lattice s A. G . KUSRAE V 10 3

The Whitehea d Group s o f Algebrai c Group s an d Application s t o Som e Problems o f Algebrai c Grou p Theor y A. P . MONASTYRNY I an d VI . YANCHEVSKI I 12 7

Diffeomorphicity Criteri a fo r Simpl y Connecte d Manifold s N. Yu . NETSVETAE V 13 5

On th e ^-theor y o f Generalize d Fibr e Bundle s an d Som e o f Thei r Twiste d Forms I. A . PANI N 14 3

vi CONTENT S

On Mapping s Preservin g Convexit y ANNA V . SHAIDENKO-KUNZ I 15 5

Affine Crystallographi c Group s G. A . SOIFE R 16 5

Integrals wit h Respec t t o Vector-value d Measures : Theoretica l Problem s and Application s A. V . UGLANO V 17 1

Generalized Derivation s o f Algebra s E.B.VINBERG 18 5

Amer. Math . Soc . Transl . (2) Vol . 163 , 199 5

On th e II I Siberia n Schoo l "Algebr a an d Analysis", Irkutsk, Augus t 30-Septembe r 4 , 198 9

Yu. G . Reshetnya k an d L . A . Bokut '

The State University o f Irkutsk hel d its III Siberia n Schoo l "Algebra and Analy -sis" from August 30 to September 4, 1989 . Th e chairman of the organizing committee was academician Yu . G . Reshetnyak . Ther e were 13 0 participants i n the school ; te n of these were from Irkuts k itself . Mor e than 3 0 participants represented Novosibirsk ; 15, Moscow ; ten , Leningrad . Other s wer e fro m Omsk , Barnaul , Tomsk , Krasno -yarsk, Tbilisi , Tartu , Yaroslavl 7, Sverdlovsk , Chita , Khabarovsk , Tashkent , Alma -Ata, an d othe r areas . Als o eigh t foreig n scientist s fro m th e Internationa l Confer -ence o n Algebr a i n memor y o f A.I . Mal'ce v attende d thi s school . Mor e tha n 10 0 participants i n th e schoo l hel d th e docto r o r th e candidat e o f scienc e degrees .

The wor k o f th e schoo l wa s organize d i n th e followin g way : i n th e morning , three one-hou r lecture s wer e given , an d i n th e afternoo n thre e o r fou r report s o f 45 minutes ' lengt h wer e read . Th e evening s were filled with informa l discussion s o n mathematical problems . Th e "Charter" fo r a Mathematical Association o f the Sovie t Union ( a kin d o f Sovie t mathematica l society ) wa s drafte d an d accepted .

Traditionally, th e schoo l ha s tw o mai n goals . Firs t o f al l i t shoul d acquain t Siberian an d othe r mathematician s wit h th e newes t achievement s i n mathematics . Therefore, leadin g mathematician s fro m Moscow , Leningrad , an d s o fort h wer e in -vited as lecturers. Th e second objective is to give an opportunity fo r young scientists , especially thos e fro m Siberia , t o presen t result s obtaine d afte r thei r (candidate's ) dissertations, an d i n thi s way to hel p the m i n thei r wor k towar d a docto r o f scienc e degree. Som e succes s wa s achieve d i n bot h directions .

The progra m o f lecture s wit h som e additiona l comment s i s detailed below . A. N . Grishko v (Omsk) . Modular Lie algebras. Thi s pape r deal s wit h a ne w

approach t o a classica l problem , viz. , th e classificatio n o f simpl e Li e algebras . Th e approach doe s no t us e Dynki n diagrams , bu t i t i s relate d t o completel y differen t combinatoriaLobjects. Thi s method can also be applied to the case of Lie subalgebras.

A. N . Varchenk o (Moscow) . The Aomoto dilogarithm and algebraic K-theory. The autho r presente d a detaile d discussio n o f th e conjectur e tha t th e cohomolog y groups o f standar d complexe s constructe d b y mean s o f th e comultiplicatio n i n th e Hopf algebr a A{k) + AQ + A\ + • • • + A n + • • • , wher e A n i s th e grou p o f pair s of ft-dimensional simplexe s i n ^-dimensiona l projectiv e spac e P n{k) ove r a field k, coincide wit h th e Quille n i^-group s o f th e field k.

M. A. Shubin (Moscow). Lefschetz type theorems {analyticalaspects) . Th e author describes a Lefschetz type theorem on fixed points, proved in collaboration with S. Sei-

©1995, America n Mathematica l Societ y 0065-9290/95/$ 1.00 + $.2 5 pe r pag e

vii

viii YU . G . RESHETNYA K AN D L . A . BOKUT '

farth, whic h use s L 2-cohomology o n manifold s wit h cylindri c ends . A n interestin g feature o f thi s theore m i s tha t i n thi s cas e th e Lefschet z numbe r i n L 2-cohomology is expressed no t onl y throug h th e contribution s o f th e fixed points , bu t th e formul a also contain s globa l invariant s o f th e degre e o f a mappin g type .

Helene Esnaul t (Paris) . Effective bounds for positive bundles. A resul t obtaine d together wit h E . Vieweg is presented here : a n effective boun d i n the Mani n theore m on th e Mordel l conjectur e i s found .

G. A . Marguli s (Moscow) . Values of indeterminate quadratic forms and unitary flows. A n outline of the proof of the following theorem, which represents the solutio n of th e Davenpor t proble m (1940 ) i s given :

Let B be an indeterminate real quadratic form in n variables, n > 3 , that is not proportional to a form with rational coefficients. Then inf YGz;v^o |l?(.x) | = 0 .

I. L . Kanto r (Moscow) . A connection between Poisson brackets and Jordan and Lie superalgebras. Th e Canto r functo r whic h connects simpl e Poisson superalgebra s and simpl e Jorda n an d Li e superalgebra s i s considered .

A. A . Kirillo v (Moscow) . Introduction to the Neretin program. Recentl y a ne w and interestin g directio n i n representatio n theor y wa s noticed : a hidde n symmetr y in the representations o f "large " groups was discovered (o f groups such as the grou p of operator s o n a n infinite-dimensiona l linea r space , th e grou p o f diffeomorphism s of a circle , th e gaug e group s o f field theory) . Namely , unitar y representation s o f the "large " group s automaticall y exten d t o th e representation s o f certai n compac t semigroups whic h contai n th e initia l grou p a s a skeleton . Yu . A . Nereti n wa s th e first t o construc t suc h a semigrou p fo r a grou p o f diffeomorphisms .

E. B. Vinberg (Moscow). On some commutative subalgebras of universal enveloping algebras. Thi s paper consider s commutative subalgebra s tha t ar e connected wit h th e Gel'fand-Tsetlin basi s an d i t i s show n tha t th e grade d subalgebra s o f th e Poisson -Lie-Berezin algebra , correspondin g t o suc h subalgebras , ar e limit s o f commutativ e subalgebras tha t ar e obtainabl e b y shiftin g invariants .

A. G. Khovanski i (Moscow) . Differences of convex polyhedrons and integrals over the Euler characteristic. Result s obtaine d togethe r wit h A.V . Pukhliko v concernin g operations o n conve x polyhedron s i n th e spac e R n, e.g. , Minkowsk i summation , "sectioning", an d produc t o f polyhedrons , ar e presented . A s a specia l cas e o f thes e results there appear the Minkowski theorems on the polynomiality o f the extension of a linear combination o f convex polyhedrons, the theorem on the polynomiality o f the number o f integers in an integral linear combination o f integral convex polyhedrons , and th e dualit y la w fo r suc h polynomials .

A. N. Parshin (Moscow). Geometry of arithmetic surfaces. I n this lecture attention was paid mostly to Arakelov's intersection theory and the formulation o f an analogu e of th e Va n de r Ven-Bogomolov-Ya u inequalit y fo r arithmeti c surfaces . Fro m thi s inequality a positiv e solutio n o f th e Ferma t proble m fo r sufficientl y larg e n shoul d follow.

Yu. A . Nereti n (Moscow) . Classification of representations of categories A, B, C, D. Continuatio n o f A . A . Kirillov' s lecture .

R. I . Grigorchu k (Moscow) . On degrees of growth of groups and applications to analysis. A survey where particular attention is paid to groups of intermediate growt h is presented. Thes e groups can be used in the theory of invariant means, the theory of Banach algebras , the spectra l theory o f operators , Riemannia n geometry , th e theor y of rando m walks , an d th e theor y o f finite automata .

V. L. Popov (Moscow) . Automorphisms of a ring of polynomials. Thi s is a surve y

Ill SIBERIA N SCHOO L "ALGEBR A AN D ANALYSIS " i x

which, in particular, presents the connections between several well-known problems of an affine algebrai c geometry: th e Jacobi problem, the Zariski (cancellation ) problem , and rule d varieties .

M. E. Kapovich (Khabarovsk). Uniformization of the three-dimensional manifolds. In his lecture the author considere d th e following problem s related t o the three type s of geometrica l structure s (hyperbolic , plan e conformal , an d birational ) o n three -dimensional manifolds: (a ) existence of the structures (V . Tersten, M. Kapovich), (b ) description of the structures (R . Mostow, R. Schoen, and S.-T. Yau), (c ) realization of the finite groups of diffeomorphisms a s automorphisms o f structures (M . Kapovich) .

Yu. S . Ilyashenk o (Moscow) . Stokes phenomenon in nonlinear analysis. Th e Stokes phenomenon lies in the fact tha t for resonating vector fields and mappings th e local dynamic s determine s no t a ma p bu t a n atla s o f map s wit h nontrivia l transfe r functions containin g significan t informatio n o n th e dynamics . Result s obtaine d b y P. M. Elizarov and S. I. Trifonov consider the computation o f these transfer functions .

A. M . Vershi k (Leningrad) . Topology of spaces of the configuration of convex polyhedrons and the theorem of universality. A profound theore m by N. E. Mnev states that an y semialgebrai c se t up t o stabilizatio n ca n b e the spac e o f configurations o f a given combinatoria l type . Thi s fac t lead s t o th e "configuratio n topology" . Anothe r program whic h i s connecte d wit h th e on e mentione d relate s t o th e theor y o f rea l complexity (th e rea l analogu e o f th e proble m P = NP).

V. Kau p (Tubingen) . Boundeded symmetric domains and Jordan algebras. Th e lecture present s contemporar y extension s i n th e infinite-dimensiona l cas e o f result s by Cartan o n th e classification o f symmetri c domain s (thes e generalization s ar e du e to Kau p an d hi s studen t Upmeier) .

G. I. Ol'shansky (Moscow) . Brauer-Weyl duality and representations of an infinite symmetric group. I n recen t year s th e theor y o f unitar y representation s o f "large " (i.e., no t locall y compact ) group s an d subgroup s relate d t o the m ha s bee n activel y developed. Result s o f th e autho r o n certai n larg e group s whic h ar e o f typ e I i n the sens e o f vo n Neumann , an d certai n relate d finite Braue r semigroup s whic h ar e related t o th e group s mentione d ar e considere d i n thi s lecture . Object s o f thi s kin d are interestin g a t th e moment i n view o f thei r connection s wit h knot s an d quantu m groups.

V. V. Bludov (Irkutsk). The Todd-Coxeter method and its realization on a computer. Results b y th e autho r i n compute r algebr a wer e presente d i n th e lecture .

In additio n t o th e lecture s th e followin g report s wer e delivered : A. B . Zhub r (Sytyvkar) . O n th e classificatio n o f th e smoot h manifolds . I . N. Yu. Netsvetaev (Leningrad) . O n the classification o f the smooth manifolds II . M. Hazewinke l (Amsterdam) . Quantu m groups . V. K. Ioni n (Novosibirsk) . Transformation s o f geometri c structures . V. P. Golubyatnikov (Novosibirsk) . Generalize d convexit y an d applications . A. P . Yuzhakov (Krasnoyarsk) . Multidimensiona l residue s an d applications . Yu. B . Rudya k (Moscow) . Som e problem s i n algebrai c topolog y (realizatio n o f

homology classes) . R. G . Nadiradz e (Tbilisi) . Classificatio n o f forma l group s o f th e for m f(u,v)

= [uR(v) + vR(u)]y/(uv). M. A. Nazarov (Moscow). Symplecti c categories over /?-adic fields and their Weil

representations. Z. I . Borevich (Leningrad) . O n th e relatio n o f normality i n the grou p GL(2,Q).

x YU . G . RESHETNYA K AN D L . A . BOKUT '

A. V . Yakovlev (Leningrad) . Representation s o f lattice s an d integra l representa -tions.

V. P. Gerdt (Dubna) . Compute r algebr a systems . E. Yu . Eroshkina (Moscow) . Compute r algebr a fo r differentia l equations . A. S. Dzhumadildaev (Alma-Ata) . Cohomolog y o f Li e algebras o f characteristi c

p, thei r application s an d analog s i n characteristi c zero . 0 . I . Tavge n (Minsk) . Finit e widt h o f th e Chevalle y group s ove r th e ring s o f

5-integers. A. A . Preme t (Moscow) . Invarian t function s an d nilpoten t elements . G. A . Soife r (Kemerovo) . Affin e crystallographi c group s (o n th e L . Auslande r

problem). Yu. B . Khakimzhanov (Tashkent) . Manifold s o f lef t structure s an d characteris -

tically nilpoten t Li e algebras . 1. L. Panin (Leningrad). Th e role of algebraic K-theory i n the solution of classical

problems. A. V . Uglanov (Yaroslavl) . Fubin i theore m fo r vecto r measures . O. I . Ivanov, N. Yu . Netsvetaev (Leningrad) . Quadrati c for m o f a su m o f mani -

folds. The lecture s an d report s wer e al l a t a leve l on e expect s a t internationa l con -

ferences. Th e schoo l illustrate d th e grea t valu e o f bringin g togethe r representative s of th e Siberia n schoo l (i n Novosibirsk , Omsk , Barnaul , Kemerovo , th e school s o f Mal'cev, Shirikov , Sobolev , Kantorovich , als o A. D. Aleksandrov, B . G. Reshetnyak , M. M . Lavrent'ev) , the Moscow schoo l (o f Kurosh, Kolmogorov , als o I . R. Shafare -vich, I . M . GelTand) , th e Leningra d schoo l (o f Rokhlin , Kantorovich , als o D. K . Faddeev , L . D . Faddeev) , th e Mins k schoo l (o f V . P . Platonov) , etc . Th e proceedings o f th e firs t schoo l (1987 ) ar e deposite d i n VINIT I an d ar e publishe d by the American Mathematica l Society , the proceedings o f the secon d schoo l (1988 ) likewise.

Yu. G . Reshetnya k Chairman o f th e Organizin g Committe e Academician

L. A . Bokut ' Vice-Chairman o f th e Organizin g Committe e Professor

Recent Title s in This Series [Continued from the front of this publication)

124 B . P . Allakhverdiev e t al. , Fiftee n Paper s o n Functiona l Analysi s

123 V . G. Maz'y a e t al. , Ellipti c Boundar y Valu e Problem s

122 N . U. Arakelyan e t al. , Te n Paper s o n Comple x Analysi s

121 V . D. Mazurov , Yu . I . Merzlyakov , an d V . A. Churkin , Editors , Th e Kourovk a Notebook :

Unsolved Problem s i n Grou p Theor y

120 M . G . Krei n and V. A. Jakubovic , Fou r Paper s o n Ordinar y Differentia l Equation s

119 V . A. Dem'janenk o e t al. , Twelve Paper s i n Algebr a

118 Ju . V . Egorov e t al. , Sixtee n Paper s o n Differentia l Equation s

117 S . V . Bockarev e t al. , Eigh t Lecture s Delivere d a t th e Internationa l Congres s o f Mathematician s i n

Helsinki, 197 8

116 A . G . Kusnirenko , A . B. Katok , an d V. M. Alekseev , Thre e Paper s o n Dynamica l System s

115 I . S . Belo v e t al. , Twelve Paper s i n Analysi s

114 M . S . Birma n an d M. Z . Solomjak , Quantitativ e Analysi s i n Sobole v Imbeddin g Theorem s an d

Applications t o Spectra l Theor y

113 A . F . Lavrik e t al. , Twelv e Paper s i n Logi c an d Algebr a

112 D . A. Gudko v an d G. A . Utkin , Nin e Paper s o n Hilb e -' s 16t h Proble m

111 V . M. Adamja n e t al. , Nin e Paper s o n Analysi s

110 M . S . Budjanu et al. , Nine Paper s o n Analysi s

109 D . V. Anosov et al. , Twenty Lecture s Delivere d a t th e Internationa l Congres s o f Mathematician s i n

Vancouver, 197 4

108 Ja . L . Geronimu s an d Gabor Szego , Tw o Paper s o n Specia l Function s

107 A . P . Misina an d L. A . Skornjakov , Abelia n Group s an d Module s

106 M . Ja . Antonovskii , V . G. Boltjanskii , an d T. A. Sarymsakov , Topologica l Semifield s an d Thei r

Applications t o Genera l Topolog y

105 R . A . Aleksandrja n e t al. , Partia l Differentia l Equations , Proceeding s o f a Symposiu m Dedicate d

to Academicia n S . L . Sobole v

104 L . V . Ahlfors e t al. , Som e Problem s o n Mathematic s an d Mechanics , O n th e Occasio n o f th e

Seventieth Birthda y o f Academicia n M . A . Lavrent'e v

103 M . S . Brodski i e t al. , Nin e Paper s i n Analysi s

102 M . S . Budjan u e t al. , Te n Paper s i n Analysi s

101 B . M. Levitan , V . A. Marcenko , an d B. L . Rozdestvenskii , Si x Paper s i n Analysi s

100 G . S . Ceiti n et al. , Fourtee n Paper s o n Logic , Geometry , Topolog y an d Algebr a

99 G . S . Ceiti n e t al. , Fiv e Paper s o n Logi c an d Foundation s

98 G . S . Ceiti n e t al. , Fiv e Paper s o n Logi c an d Foundation s

97 B . M . Buda k e t al. , Eleve n Paper s o n Logic , Algebra , Analysi s an d Topolog y

96 N . D . Filippov e t al. , Te n Paper s o n Algebr a an d Functiona l Analysi s

95 V . M. Adamja n e t al. , Eleve n Paper s i n Analysi s

94 V . A. Baranski i e t al. , Sixtee n Paper s o n Logi c an d Algebr a

93 Ju . M . Berezanski i e t al. , Nin e Paper s o n Functiona l Analysi s

92 A . M . Anciko v e t al. , Seventee n Paper s o n Topolog y an d Differentia l Geometr y

91 L . I . Bar k Ion et al. , Eightee n Paper s o n Analysi s an d Quantu m Mechanic s

90 Z . S . Agranovi c e t al. , Thirtee n Paper s o n Functiona l Analysi s

89 V . M. Aleksee v e t al. , Thirteen Paper s o n Differentia l Equation s

88 I . I . Eremi n et al. , Twelv e Paper s o n Rea l an d Comple x Functio n Theor y

87 M . A . Aizerma n e t al. , Sixtee n Paper s o n Differentia l an d Differenc e Equations , Functiona l Analysis, Game s an d Contro l

86 N . I . Ahieze r e t al. , Fiftee n Paper s o n Rea l an d Comple x Functions , Series , Differentia l an d Integral Equation s

(See th e AM S catalo g fo r earlie r titles )