Methods of Approximation Theory in Complex Analysis and Mathematical Physics

The book incorporates research papers and surveys written by participants ofan International Scientific Programme on Approximation Theory jointly supervised by Institute for Constructive Mathematics of University of South Florida at Tampa, USA and the Eul

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Methods of Approximation Theory in Complex Analysis and Mathematical Physics Euler Institute, 1991

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Springer-Verlag

ecture Notes in Mathematics 1550 ditors: A. Dold, Heidelberg B. Eckmann, ZUrich F. Takens, Groningen ubseries: POMI and Euler International Mathematical Institute, St. Petersburg dviser: L. D. Faddeev

Editors Andrei A. Gonchar The Steklov Mathematical Institute Russian Academy of Sciences Vavilova 42 Moscow, GSP-l, 117966, Russia Edward B. Saff Institute for Constructive Mathematics University of South Florida Tampa, FL 33620, USA

Publisher's Note: This book was originally printed in 1992 for the Euler Institute, St. Petersburg, by Nauka Publishers, Moscow, then reissued by Springer-Verlag in 1993, under a new cover, in the Lectures Notes in Mathematics series. This circumstance explains the slight differences in appearance (format etc.) from the rest of the LNM series.

Mathematics Subject Classification (1991): 30E I0, 41A21, 41A46, 41A50, 41A65, 42C05, 42C15, 33A65, 33A70, 31CI5

ISBN 3-540-56931-6 Springer Verlag Berlin Heidelberg New York ISBN 0-387-56931-6 Springer-Verlag New York Berlin Heidelberg

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or' parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from SpringerVerlag. Violations are liable for prosecution under the German Copyright Law. © The Euler International Mathematical Institute St. Petersburg and Springer-Verlag Berlin Heidelberg 1993 Printing and binding: Printing House of Nauka Publishers, Moscow 46/3140-543210 - Printed on acid-free paper

Russian Academy of Sciences The Euler International Mathematical Institute

METHODS OF APPROXIMATION THEORY IN COMPLEX ANALYSIS AND MATHEMATICAL PHYSICS Leningrad, May 13-24,1991 Editors A.A.Gonchar, E.B.Saff

MOSCOW "NAUKA" 1992

This book is a collection of selected papers written by participants of international seminars on "Methods of Approximation Theory in Complex Analysis and Mathematical Physics". The seminars were organized in Leningrad, May 13­26, 1991 by the Euler International Mathematical Institute of Russian Academy of Sciences (St. Petersburg, Russia) and Institute for Constructive Mathematics of University of South Florida (Tampa, Florida). This meeting was the second part of a joint scientific programme of Academy of Sciences and of National Science Foundation. The first conference "Approximation Theory" took place at Tampa, Florida, March 19­23, 1990. The results of this conference were published by Springer­Verlag (A.A. Gonchar, E.B. Saff, Progress in Approximation Theory, An International Perspective, Springer series in Computational Mathematics, 19, 1992). The present book s