CONTEMPORARY MATHEMATICS
455
Israel Mathematical Conference Proceedings
Complex Analysis and Dynamical Systems Ill
A Conference in Honor of the Retirement of Dov Aharonov, Lev Aizenberg , Samuel Krushkal, and Uri Srebro
January 2-6, 2006 Nahariya, Israel
Mark Agranovsky Daoud Bshouty
Lavi Karp Simeon Reich
David Shoikhet Lawrence Zalcman
Complex Analysis and Dynamical Systems Ill
http://dx.doi.org/10.1090/conm/455
Titles in This Subseries
Israel Mathematical Conference Proceedings (IMCP) is a publication, part of the Contemporary Mathematics Series, devoted to the proceedings of conferences, symposia and seminars. Collections of papers focusing on a certain subject will also be published. Prospective volumes may be submitted to any member of the editorial board. Each volume has an editor (or editors) responsible for its preparation. In order to ensure inexpensive and timely distribution, authors are requested to submit to the Editor of the volume an electronic 'lEX file of their manuscript in A_MS-~'IEX. using the Contemporary Mathematics style file which can be downloaded at http://www.ams.org/tex/author-info.html. For further information, contact the Managing Editor, IMCP, Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel; e-mail: roweniDmacs. biu. ac. il.
455 Mark Agranovsky, Daoud Bshouty, Lavi Karp, Simeon Reich, David Shoikhet, and Lawrence Zalcman, Editors, Complex Analysis and Dynamical Systems III, 2008
433 Pavel Etingof, Shlomo Gelaki, and Steven Shnider, Editors, Quantum groups, 2007 404 Alexander Borichev, Hakan Hedenmalm, and Kehe Zhu, Editors, Bergman spaces
and related topics in complex analysis, 2006 402 Zvi Arad, Mariagrazia Bianchi, Wolfgang Herfort, Patrizia Longobardi,
Mercede Maj, and Carlo Scoppola, Editors, Ischia group theory 2004, 2006 387 Michael Entov, Yehuda Pinchover, and Michah Sageev, Editors, Geometry,
spectral theory, groups, and dynamics, 2005 382 Mark Agranovsky, Lavi Karp, and David Shoikhet, Editors, Complex analysis and
dynamical systems II, 2005 364 Mark Agranovsky, Lavi Karp, David Shoikhet, and Lawrence Zalcman, Editors,
Complex analysis and dynamical systems, 2004
Published Earlier as IMCP 15 Vitali Milman, Iossif Ostrovskii, Mikhail Sodin, Vadim Tkachenko,
and Lawrence Zalcman, Editors, Entire functions in modern analysis: Boris Levin memorial conference, 2001
14 Robert Brooks and Mikhail Sodin, Editors, Lectures in memory of Lars Ahlfors, 2000 13 Yuri Brudnyi, Michael Cwikel, and Yoram Sagher, Editors, Function spaces,
interpolation spaces, and related topics, 1999 12 Mina Teicher, Editor, The heritage of Emmy Noether, 1999 11 Lawrence Zalcman, Editor, Proceedings of the Ashkelon workshop on complex function
theory (May 1996), 1997 10 Jean-Pierre Fouque, Kenneth J. Hochberg, and Ely Merzbach, Editors,
Stochastic analysis: random fields and measure-valued processes, 1995 9 Mina Teicher, Editor, Proceedings of the Hirzebruch 65 conference on algebraic
geometry, 1995 8 Ilya Piatetski-Shapiro and Stephen Gelbart, Editors, The Schur lectures (1992),
1995 7 Anthony Joseph and Steven Shnider, Editors, Quantum deformations of algebras
and their representations, 1993 6 Haim Judah, Editor, Set theory of the reals, 1992 5 Michael Cwikel, Mario Milman, and Richard Rochberg, Editors, Interpolation
spaces and related topics, 1992 4 Simson Baron and Dany Leviatan, Editors, Approximation interpolation and
summability, in honor of Amnon Jakimovski, 1991 3 Stephen Gel bart, Roger Howe, and Peter Sarnak, Editors, Festschrift in honor of I.
I. Piatetski-Shapiro, part II: Papers in analysis, number theory and automorphic £-Functions, 1990
(Continued in the back of this publication)
CoNTEMPORARY MATHEMATICS
455
Israel Mathematical Conference Proceedings
Complex Analysis and Dynamical Systems Ill
A Conference in Honor of the Retirement of Dov Aharonov, Lev Aizenberg, Samuel Krushkal,
and Uri Srebro January 2-6, 2006
Nahariya, Israel
Mark Agranovsky Daoud Bshouty
Lavi Karp Simeon Reich David Shoikhet
Lawrence Zalcman
American Mathematical Society Providence, Rhode Island
Bar-llan University Ramat Gam, Israel
Editorial Board of Contemporary Mathematics Dennis DeTurck, managing editor
George Andrews Andreas Blass Abel Klein
Editorial Board of Israel Mathematical Conference Proceedings
Louis Rowen, Bar-Ilan University, managing editor
Z. Arad, Netanya Academic College J. Bernstein, Tel-Aviv University H. Furstenberg, Hebrew University S. Gelbart, Weizmann Institute
V. Gol'dshtein, Ben-Gurion University
M. Katz, Bar-Ilan University B. Pinchuk, Netanya Academic College S. Shnider, Bar-Ilan University L. Small, University of California
at San Diego L. Zalcman, Bar-Ilan University
Miriam Beller, Technical Editor
2000 Mathematics Subject Classification. Primary 74-xx, 30-xx, 31-xx, 32-xx, 35-xx, 37-xx, 41-xx, 42-xx, 46-xx, 47-xx, 53-xx, 57-xx.
Library of Congress Cataloging-in-Publication Data International Conference on Complex Analysis and Dynamical Systems (3rd : 2006 : Nahariya, Israel)
Complex analysis and dynamical systems III : a conference in honor of the retirement of Professors Dov Aharonov, Lev Aizenberg, Samuel Krushkal, and Uri Srebro, January 2--6, 2006, Nahariya, Israel/ Mark Agranovsky .... [eta!.].
p. cm.-(Israel mathematical conference proceedings) Contemporary mathematics, ISSN 0271-4132); v. 455)
Includes bibliographical references. ISBN 978-0-8218-4150-1 (alk. paper) 1. Functions of complex variables-Congresses. 2. Differentiable dynamical systems-Con-
gresses. QA331.7.158 2006 515.9-dc22 2008060011
Copying and reprinting. Material in this book may be reproduced by any means for edu-cational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents and provided that the customary acknowledg-ment of the source is given. This consent does not extend to other kinds of copying for general distribution, for advertising or promotional purposes, or for resale. Requests for permission for commercial use of material should be addressed to the Managing Editor, IMCP, Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900 Israel. Requests can also be made by email to rowen\Omacs. biu. ac. il.
Excluded from these provisions is material in articles for which the author holds copyright. In such cases, requests for permission to use or reprint should be addressed directly to the author(s). (Copyright ownership is indicated in the notice in the lower right-hand corner of the first page of each article.)
© 2008 by Bar-Ilan University. Printed in the United States of America.
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Contents
Preface ix
Biographies xi
Conference Program xiii
List of participants xxi
Stable Expansions in Homogeneous Polynomials L. AIZENBERG and N. TARKHANOV 1
Dynamics of Approximate Solutions to a Class of Evolution Equations in Banach Spaces
S. AIZICOVICI, S. REICH, and A.J. ZASLAVSKI 23
Schottky's Theorem on Conformal Mappings Between Annuli K. ASTALA, T. lWANIEC, G. MARTIN, and J. ONNINEN 35
Univalent Convex Functions in the Positive Direction of the Real Axis D. BSHOUTY and A. LYZZAIK 41
The Common Fixed Point Set of Commuting Nonexpansive Mappings in Infinite Products of Unit Balls
M. BUDZYNSKA and T. KUCZUMOW 53
Controlled Approximation for Some Classes of Holomorphic Functions M. ELIN, D. SHOIKHET, and L. ZALCMAN 63
Best Approximating Entire Functions to lxla in £ 2 M.l. GANZBURG and D.S. LUBINSKY 93
Orbits of Tori Extended by Finite Groups and their Polynomial Hulls: The Case of Connected Complex Orbits
V.M. GICHEV 109
QC Riemann Mapping Theorem in Space D.H. HAMILTON 131
Boundary Value Problems in Weighted Edge Spaces G. HARUTYUNYAN and B.-W. SCHULZE 151
Analytic Properties of Besov Spaces via Bergman Projections H.T. KAPTANOGLU and A. ERSiN UREYEN 169
The Cauchy integral over non-rectifiable paths B.A. KATS 183
v
vi CONTENTS
Holomorphic Continuation via Laplace-Fourier series 0. KOUNCHEV and H. RENDER 197
Analytic Functions in Algebras Y. KRASNOV 207
Rational Approximation of Holomorphic Functions and Geometry of Grunsky Inequalities
S.L. KRUSHKAL 219
Quadratic Forms in Geometric Function Theory, Quasiconformal Extensions, Fredholm Eigenvalues
R. KUHNAU 237
Elimination Methods of Unknowns from Nonlinear Systems A. KYTMANOV 257
On Locally Biholomorphic Finitely Valent Mappings from Multiply Connected to Simply Connected Domains
P. LICZBERSKI and V.V. STARKOV 269
Parabolic Pseudodifferential Operators in Exponential Weighted Spaces YA. LUTSKY and V.S. RABINOVICH 279
The Cauchy Problem of Couple-Stress Elasticity 0. MAKHMUDOV, I. NIYOZOV, and N. TARKHANOV 297
On the Zeta-function of a Nonlinear System S. MYSLIVETS 311
Some Questions of Uniqueness for Extremal Quasiconformal Mappings E. REICH 317
Remarks on the Existence of Quasimeromorphic Mappings E. SAUCAN 325
On the Cauchy Problem for the Cauchy-Riemann Operator in Sobolev Spaces A. SHLAPUNOV 333
On Spectral Functions for Commutative J-self-adjoint Operator Families of the D-:_ -class
V. STRAUSS 349
Mappings Associated with Weighted Sobolev Spaces A. UKHLOV and S.K. VoDOPYANOV 369
Inner Maps and Banach Algebras E. VESENTINI 383
Reconstructing Holomorphic Functions in a Domain from their Values on a Part of its Boundary
A. VIDRAS 393
A Note on the Parabolicity of Minimal Graphs A. WEITSMAN 411
CONTENTS vii
Localization of Fixed Points and Zeros for Holomorphic Maps in Locally Convex Spaces and Nonexpansive Maps in J*-algebras
K. WLODARCZYK, D. KLIM, and R. KowALCZYK 417
On Harmonic Polynomial Interpolation V. ZAHARIUTA 439
Preface
The Third International Conference on Complex Analysis and Dynamical Systems ( CA&DS III), sponsored by ORT Braude College {Karmiel, Israel), Bar-Ilan University, and the Technion, took place at the Carlton Hotel in Nahariya, Israel, during January 2-6, 2006. This was the seventh in a series of mathemat-ics conferences organized by ORT Braude over the past several years. Altogether, over 100 participants from 20 countries attended the Conference, which was held in honor of Professors Dov Aharonov, Lev Aizenberg, Samuel Krushkal, and Uri Srebro, on the occasion of their retirement.
This volume is the tangible record of CA&DS III. Most of the papers collected here have been contributed by participants in the Conference. In some cases, they have chosen to submit manuscripts which depart from the texts of their lectures. There are also contributions from participants who did not speak at the Conference, as well as papers by friends and admirers of the honorees who were unable to attend. All submissions have been carefully refereed.
We acknowledge with thanks the support provided for the Conference by the Galilee Research Center for Applied Mathematics of ORT Braude, the Gelbart Research Institute for Mathematical Sciences and the Emmy Noether Research Institute for Mathematics of Bar-Ilan University and the Center of Mathematical Sciences (under the auspices of the Elisha Netanyahu Institute of Advanced Studies in Mathematics). Special thanks to the technical editor, Miriam Beller, for work above and beyond the call of duty and to Larry Zalcman, who (as in previous volumes) has edited the papers for English style.
The Editors
ix
Biographies
Professor Dov Aharonov was born in Haifa in 1938 and received his D.Sc from the Technion-ITT in 1967, under the guidance of Elisha Netanyahu. After postdoctoral studies at the University of Maryland, he joined the Department of Mathematics at the Technion. His research ranges over complex analysis as a whole, including geometric function theory, ordinary differential equations, quadrature domains, dynamical systems and circle packings. Prof. Aharonov has written three monographs and published over fifty research papers. Many of the Israeli mathematicians working in his fields of interest have been his students.
Professor Lev Aizenberg was born in Moscow in 1937. He graduated from the Moscow Pedagogical Insitute in 1961 with a Ph.D. in mathematics under the guidance of A. Temliakov {who was a student of S. Berman) and received his D.Sc. in 1967 from Moscow State University. In 1964, at the General Physics Institute of the Siberian Branch of the Russian Academy of Science in Krasnoyarsk, he founded the Laboratory of Function Theory. At the same time, he founded the Department of Mathematical Analysis at the University of Krasnoyarsk. In 1993, he immigrated to Israel. Since 1994, he has served as a professor in the Department of Mathematics, Bar-Ilan University. Prof. Aizenberg has published over 140 research papers, including three monographs. He has had 25 Ph.D. students, eight of whom are full professors.
Professor Samuel L. Krushkal was born in Tartu, Estonia in 1938 and grad-uated from the Sobolev Institute of Mathematics with a Ph.D. in 1964 and with a D.Sc. in mathematics in 1970 under the guidance of P. Belinskii. He was a research scientist at the Sobolev Institute until 1991, when he joined the Department of Mathematics at Bar-Ilan University. His research interests include complex analy-sis, geometric function theory, differential geometry, differential equations, and the geometry and topology of manifolds. He is the author and editor of four books and has published over 120 research papers. He has had 21 Ph.D. students from all over the world.
Professor Uri Srebro was born in Tel Aviv in 1936 and received his D.Sc. from the Technion- ITT in 1968, with Elisha Netanyahu as his thesis advisor. After postdoctoral studies at the University of Minnesota and shorter visits to Urbana and Helsinki, he returned to the Technion in 1969 and has been there ever since. His areas of research and interest include quasiconformal and quasiregular mappings, Beltrami equations, branched folded mappings, covering theorems for meromorphic functions, immersions of manifolds and discrete Moebius groups. He was one of the organizers of the Special Year in Complex Analysis at the Technion in 1975-76 and
xi
xii BIOGRAPHIES
later very active in organizing international conferences in his fields of interest. He has also been a long-term visitor at many of the leading centers of complex analysis, including Maryland, Helsinki, Jyvaskyla, Ann Arbor, San Diego, Purdue, Uppsala, New Zealand and Urbana-Champaign.
Conference Program
January 2-6, 2006
Monday, January 2
08:30 Registration at Carlton Hotel 14:00-14:15 Opening Ceremony
Plenary Talks
14:20 - 15:05 0. Martio On the regularity of quasiconformal maps with applications
15:10- 15:55 N. Tarkhanov Analytic continuation from a boundary subset
Afternoon Session 1
16:30 - 17:00 S. Ruscheweyh Circular convexity preservation under Hadamard products
17:05 - 17:35 M. Stawiska Currents and the topology of invariant sets for holomorphic maps in several variables
17:40 - 18:10 0. Roth A boundary version of Ahlfors' Lemma with applications
18:15 - 18:45 E. Liflyand Hausdorff operators on the real Hardy space
18:50-19:20 V. Zahariuta Some applications of pluripotential theory in complex analysis
xiii
xiv CONFERENCE PROGRAM
Afternoon Session 2
16:30 - 17:00 W. Abikoff Computations and generalizations of the Douady-Earle extension
17:05 - 17:35 A. Weitsman Parabolicity criteria for minimal surfaces with boundary
17:40- 18:10 K. Dyakonov Self-improving behavior of inner functions as multipliers
18:15- 18:45 W. Littman Boundary control "lite"
Afternoon Session 3
16:30- 17:00 S. Friedland Entropy of holomorphic and rational maps
17:05 - 17:35 I. Sarantopoulos Generalization of Hardy-Hilbert inequality
17:40 - 18:10 V. Strauss On the bicommutant of a commutative W J* -algebra of D"!; -class
18:15- 18:45 T. Kuczumow Properties of the Kobayashi distance and fixed points of holomorphic mappings
18:50-19:20 L. Rodman Analytic roots of invertible matrix functions
Tuesday, January 3
Plenary Talks
08:30- 09:15 H.S. Shapiro Stefan Bergman's doubly orthogonal functions
09:20 - 10:05 M. Kapovich Critical exponent and cohomological dimension
CONFERENCE PROGRAM
Morning Session 1
10:40- 11:10 D. Khavinson Algebraicity in the classical Dirichlet problem
11:15- 11:45 H. Render Real Bargmann spaces, Fischer pairs and sets of uniqueness for polyharmonic functions
11:50 - 12:20 A. Vidras Analytic functions representable by Carleman formulas
12:25 - 12:55 A. Shlapunov The Cauchy problem for the Cauchy Riemann system and mixed problem with a parameter
Morning Session 2
10:40- 11:10 L. Potyagailo Right-angled Coxeter groups in the hyperbolic spaces
11:15 - 11:45 S. Krushkal Rational approximation of holomorphic functions and geometry of Grunsky inequalities
11:50 - 12:20 E. Saucan The existence of quasimeromorphic mappings
12:25 - 12:55 A. Golberg Differential properties of homeomorphisms with finite integral dilatations
Morning Session 3
10:40- 11:10 B.-W. Schulze Edge calculus of second generation
11:15 - 11:45 E. Titi On the question of global regularity for the three-dimensional Navier-Stokes equations
11:50- 12:20 Y. Kametaka The best constant in Sobolev's inequality
12:25 - 12:55 V. Rabinovich
Plenary Talk
Essential spectrum of discrete Schrodinger and Dirac operators and exponential estimates of their eigenfunctions
14:20- 15:15 D. Hamilton QC Riemann mapping theorem in space
XV
xvi CONFERENCE PROGRAM
Afternoon Session 1
15:35 - 16:05 M. Shapiro On polynomials, Taylor series and rational functions in Clifford analysis
16:10 - 16:40 P. Liczberski On locally biholomorphic mappings from multiply connected domains onto canonical domains
16:45- 17:15 Y. Krasnov Analytic functions in algebras
17:20 - 17:50 Y. Feler Spaces of geometrically generic configurations
Afternoon Session 2
15:35- 16:05 T. Kaptanoglu Bergman projections on Besov spaces on balls
16:10 - 16:40 V. Gutlyanskii On boundary regularity of conformal maps
16:45- 17:15 M.M. Lavrentiev Mathematical problems in tomography and hyperbolic reflections
17:20 - 17:50 E. Yakubov Ring homeomorphisms and the Beltrami equation
Afternoon Session 3
15:35- 16:05 K.Takemura A bending problem of a bar and the best constant in Sobolev's inequality
16:10 - 16:40 B. Paneah Another approach to the Ulam stability of linear functional equations
16:45- 17:15 L. Zelenko Generic spectrum of a Schrodinger operator with complex limit-periodic potential
17:20 - 17:50 A.M. Il'in The coefficients of inner asymptotic expansions for solutions of some singular boundary value problems
CONFERENCE PROGRAM
Wednesday, January 4
Plenary Talks
08:30 - 09:15 L. Zalcman Picard-Hayman behavior of derivatives of meromorphic functions with multiple zeros
09:20 - 10:05 E. Reich Recent progress and open questions for extremal quasiconformal mappings
Morning Session 1
10:40- 11:10 J.M. Anderson A generalized Schwarz Pick Lemma
11:15- 11:45 L. Aizenberg Classical results of Bohr and Rogosinski on power series and their multivariate analogues
11:50 - 12:20 0. Kounchev
xvii
Solution of the multivariate moment problem, or polyharmonic quadrature domains and Gauss Jacobi cubatures
12:25 - 12:55 L. Znamenskaya Martineau-Aizenberg duality in Kiselman's problem
Morning Session 2
10:40- 11:10 I. Kra Some analytic aspects of Teichmiiller theory
11:50 - 12:20 H. Hedenmalm A refinement of Makarov's LIL
12:25 - 12:55 H.M. Farkas Theta function identities
xviii CONFERENCE PROGRAM
Morning Session 3
10:40- 11:10 V. Derkach Convergence of Pade approximants for generalized Nevanlinna functions
11:15 - 11:45 D. Klim Fixed points of set-valued dynamical systems of upper semicontinuous asymptotic contractions
11:50 - 12:20 M. Ostrovskii Linear fractional relations: non-triviality of the domain and analogues of the Liouville theorem
12:25 - 12:55 I. Gaissinski Kelvin Helmholtz instability model for supersonic viscid jets
Afternoon Session 1
14:00 - 14:30 S. Myslivets On the zeta-function of a nonlinear system
14:35 - 15:05 B.A. Kats The Cauchy integral over non-rectifiable paths
Afternoon Session 2
14:00 - 14:30 A. Eremenko Polya 's conjecture on the zeros of successive derivatives of real entire functions
14:35 - 15:05 A. Ukhlov Sobolev spaces and mappings with bounded mean distortion
Afternoon Session 3
14:00- 14:30 A. Sidi A new approach to vector-valued rational interpolation
14:35 - 15:05 P. Yuditskii The renormalization of periodic Jacobi matrices and limit periodic matrices with a singular continuous spectrum
Thursday, January 5
Plenary Talks
08:30- 09:15 W.K. Hayman The growth of univalent functions with an initial gap
09:20 - 10:05 E. Vesentini Inner maps into Banach algebras
CONFERENCE PROGRAM
Morning Session 1
10:40- 11:10 D. Lubinsky Best approximating entire functions of exponential type
11:15- 11:45 C. Beneteau A survey of extremal problems for non-vanishing analytic functions
Morning Session 2
11:15 - 11:45 L. Resendis Dirichlet Dp spaces
Morning Session 3
10:40- 11:10 K. Wlodarczyk
Friday, January 6
Plenary Talks
Localization of fixed points and zeros of holomorphic maps in locally convex spaces and nonexpansive J* -algebras
09:00 - 09:45 K. Stephenson Discrete conformal structure
09:50 - 10:35 R. Kiihnau Quadratic forms in geometric function theory
11:10- 11:55 A. Kytmanov Elimination methods of unknowns from nonlinear systems
xix
List of Participants
W. Abikoff University of Connecticut, USA
B. Abramovich ORT Braude College, Israel
M. Agranovsky Bar-Ilan University, Israel
D. Aharonov The Technion, Israel
L. Aizenberg Bar-Ilan University, Israel
J. M. Anderson University College London, UK
A. Aytuna Sabanci Universitesi, Thrkey
C. Beneteau Seton Hall University, USA
D. Bshouty The Technion, Israel
M. Budzynska Maria Curie-Sklodowska University, Poland
V. Derkach Donetsk National University, Ukraine
K. Dyakonov Universitat de Barcelona, Spain
M. Elin ORT Braude College, Israel
A. Eremenko Purdue University, USA
H. Farkas Hebrew University, Israel
Y. Feler The Technion, Israel
S. Friedland University of Illinois at Chicago, USA
I. Gaissinski The Technion, Israel
A. Golberg Bar-Ilan University, Israel
A. Gol'dberg Bar-Ilan University, Israel
A. Goldvard ORT Braude College, Israel
V. Gutlyanskii Institute of Applied Mathematics & Mechanics, NAS, Ukraine
D. Hamilton University of Maryland, USA
L. Hanin Idaho State University, USA
W. K. Hayman Imperial College, England
H. Hedenmalm Royal Institute of Technology, Sweden
R. Hurri-Syrjanen University of Helsinki, Finland
A. Il'in Chelyabinsk State University, Russia
F. Jakobzon ORT Braude College, Israel
Y. Kametaka Osaka University, Japan
xxi
xxii PARTICIPANTS
M. Kapovich University of California Davis, USA
T. Kaptanoglu Bilkent University, Turkey
I. Karelin ORT Braude College, Israel
M. Karmanova Novosibirsk State University, Russia
L. Karp ORT Braude College, Israel
B. Kats Kazan State University, Russia
V. Khatskevich ORT Braude College, Israel
D. Khavinson University of Arkansas, USA
D. Klim University of L6dz, Poland
0. Kounchev Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Bulgaria
I. Kra State University of New York at Stony Brook, USA
Y. Krasnov Bar-Ilan University, Israel
S. Krushkal Bar-Ilan University, Israel
T. Kuczumow Maria Curie-Sklodowska University, Poland
R. Kiihnau Martin-Luther Universitiit, Germany
A. Kytmanov Siberian Federal University, Russia
M. Lavrentiev Sobolev Institute of Mathematics, SB RAS, Russia
M. Levenstein The Technion, Israel
E. Levin The Open University, Israel
G. Levin Hebrew University, Israel
P. Liczberski Technical University of L6dz, Poland
E. Liflyand Bar-Ilan University, Israel
W. Littman University of Minnesota, USA
D. Lubinsky Georgia Institute of Technology, USA
Y. Lutsky ORT Braude College, Israel
0. Martio Universitas Helsingiensis, Finland
R. Miniowitz The Technion, Israel
S. Myslivets Krasnoyarsk State University, Russia
S. Nevo Bar-Ilan University, Israel
M. Ostrovskii St. John's University, USA
V. Palamodov Tel-Aviv University, Israel
X. Pang East China Normal University, China
B. Paneah The Technion, Israel
L. Potyagailo Universite de Lille 1, France
V. Rabinovich Instituto Politecnico Nacional, Mexico
E. Reich University of Minnesota, USA
PARTICIPANTS xxiii
S. Reich The Technion, Israel
H. Render Universidad de La Rioja, Spain
L. Resendis Metropolitan Autonomous University, Mexico
L. Rodman The College of William & Mary, USA
J. Roseman Tel-Aviv University, Israel
0. Roth Universitiit Wiirzburg, Germany
V. Rovenski University of Haifa, Israel
S. Ruscheweyh Universitiit Wiirzburg, Germany
I. Sarantopoulos National Technical University, Greece
E. Saucan The Technion, Israel
B. W. Schulze Universitiit Potsdam, Germany
H. Shapiro Kungliga Tekniska Hogskolan, Sweden
M. Shapiro Instituto Politecnico N acional, Mexico
T. Sheil-Small University of York, England
A. Shlapunov Siberian Federal University., Russia
D. Shoikhet ORT Braude College, Israel
L. Shvartsman ORT Braude College, Israel
U. Srebro The Technion, Israel
M. Stawiska University of Illinois at Chicago, USA
V. Strauss Universidad Simon Bolivar, Venezuela
K. Takemura Tokyo University of Technology, Japan
N. Tarkhanov Universitiit Potsdam, Germany
M. Teicher Bar-Ilan University, Israel
E. Titi University of California, Irvine, USA and The Weizmann Institute of Science, Israel
A. Ukhlov Ben-Gurion University of the Negev, Israel
E. Vesentini Accademia Nazionale dei Lincei, Italy
A. Vidras University of Cyprus, Cyprus
Y. Weit University of Haifa, Israel
A. Weitsman Purdue University, USA
K. Wlodarczyk University of L6dz, Poland
E. Yakubov Holon Academic Institute of Technology, Israel
P. Yuditskii Bar-Ilan University, Israel
V. Zaharyuta Sabanci Universitesi, Turkey
L. Zalcman Bar-Ilan University, Israel
L. Zelenko University of Haifa, Israel
L. Znamenskaya Program Systems Institute, RAS, Russia
Titles in This Subseries (Continued from the front of this publication)
2 Stephen Gelbart, Roger Howe, and Peter Sarnak, Editors, Festschrift in honor of I. I. Piatetski-Shapiro, part 1: Papers in representation theory, 1990
1 Louis Rowen, Editor, Ring theory, in honor of 8. A. Amitsur, 1989
The papers in this volume cover a wide variety of topics in the geometric theory of func-tions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, minimal surfaces, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of approximation theory and partial differential equations. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, drawn by a number of leading figures in the field.
ISBN 978-0-8218-4150-1
9 780821 841501