Rational Approximation and its Applications in Mathematics and Physics
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1237 Rational Approximation and its Applications in Mathematics and Physics Proceedings, Lancut 1985
Edited by J. Gilewicz, M. Pindor, W Siemaszko
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Editors
Jacek Gilewicz Centre de Physique Theorique, CNRS Luminy, Case 907, 13288 Marseille Cedex 9, France Maciej Pindor Instytut Fizyki Teoretycznej, Uniwersytet Warszawski ul. Hoia 69,00-681 Warszawa, Poland Wojciech Siemaszko Instytut Matematyki i Fizyki, Politechnika Rzeszowska ul. Poznariska 2, P.O. Box 85,35-084 Rzeszow, Poland
Mathematics Subject Classification (1980): Primary: 30B 70, 30E 10,41 A20 Secondary: 12Dl0, 41A21,81G05 ISBN 3-540-17212-2 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-17212-2 Springer-Verlag New York Berlin Heidelberg
Library of Congress Cataloging-in-Publication Data. Rational approximation and its applications in mathematics and physics. (Lecture notes in mathematics; 1237) 1. Approximation theoryCongresses. 2. Fractions, Continued-Congresses. I. Gilewicz, Jacek, 1937-.11. Pindor, M. (Maciej), 1914-. III. Siemaszko, W. (Wojciech), 1945-. IV. Series: Lecture notes in mathematics (Springer-Verlag); 1237. QA3.L28 no. 1237510 s 87-4289 [QA221] [513'.24] ISBN 0-387-17212-2 (U.S.) This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations. broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich. © Springer-Verlag Berlin Heidelberg 1987 Printed in Germany
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FOREWORD One of the main purposes of the Lancut Conference was the direct exchange of experiences and results between specialists in rational approximation who have not had any occasion to meet until now. At the first European meetings in Marseille -Toulon (1975), Lille (1978), Antwerp (1979), Amsterdam (1980), Bad Honnef (1983), Bar le Due (1984), Segovia (1985), Marseille(1985) there were only a few participants from Poland. The first French -Polish meeting on rational approximation at Warsaw, took place in June 1981. The proof of the need for such meetings as that of Lancut, for exemple, is the constatation made by Ukrainian mathematicians that some of their results obtained more than ten years before, though published in a journal little known in the West, were rediscovered in 1985. We would like to explain the reasons for the choice of the topics of the Conference. As is well known, continued fractions and rational approximations constitute the same domain expressed in different languages. Considering these problems in a wider aspect of approximation theory is necessary today for their further development. It should not be forgotten that interest in these problems comes from their spectacular applications to numerical and phys
