Global Analysis - Studies and Applications V
This volume (a sequel to LNM 1108, 1214, 1334 and 1453) continues the presentation to English speaking readers of the Voronezh University press series on Global Analysis and Its Applications. The papers are selected fromtwo Russian issues entitled "Algebr
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Subseries: LOMI and Euler International Mathematical Institute, St. Petersburg Adviser: L. D. Faddeev
1520
Yu. G. Borisovich
Yu. E. Gliklikh
(Eds.)
Global Analysis Studies and Applications V
SpringerVerlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest
Editors YUrl G. Borisovich Yurl E. Gliklikh Department of Mathematics Voronezh State University 394693, Voronezh, Russia Consulting Editor A. M. Vershik Department of Mathematics and Mechanics St. Petersburg State University 198904, Petrodvorets, St. Petersburg, Russia
The articles in this volume are translations of the articles that appeared originally in Russian in the books "Algebraicheskie voprosy analiza i topologii" and "Nelineinye operatory v global'- nom analize" published by Voronezh University Press in 1990 and 1991. Mathematics Subject Classification (1991): 58-02, 47A56, 55N, 57T, 58B15, 58C06, 58C30, 58D05, 58F, 58G03, 58G17, 58032, 58HlO, 68U05, 81P20 ISBN 3-540-55583-8 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-55583-8 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 Springer-Verlag. Violations are liable for prosecution under the German Copyright Law.
© Springer-Verlag Berlin Heidelberg 1992 Printed in Germany Typesetting: Camera ready by author/editor Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 46/3140-543210 - Printed on acid-free paper
PREFACE
This Lecture Notes volume (a sequel to 1108, 1214, 1334 and 1453) continues the presentation to English speaking readers of the Voronezh University Press series "Novoe v global 'nom analize" (New Developments in Global Analysis) which is based on the seminars on Global Analysis in Voronezh University and Annual Voronezh Winter Mathematical Schools. Here we pUblish the articles selected from two issues of the series entitled "Algebraic questions of Analysis and Topology" (1990) and "Nonlinear Operators in Global Analysis" (1991), so the articles are divided into two chapters whose scopes are centred at the above topics. Some papers (e.g. the paper by Yu.E.Gliklikh of the first chapter and the paper by B.Yu.Sternin and V.E.Shatalov of the second one) are revised and expanded specially for this edition. That is why we break the tradition and do not indicate the year of the original pUblication of the chapters in the Contents. We are indebted to the members of the editorial board of the series (A.T.Fomenko, A.S.Mishchenko, S.P.Novikov, M.M.Postnikov, A.M.vershik et al.) and to the sponsor of the Russian issue of 1991, Voronezh Construction and Technology
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