Convolution Equations and Singular Integral Operators Selected Paper

This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than

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Editors: Joseph A. Ball (Blacksburg, VA, USA) Harry Dym (Rehovot, Israel) Marinus A. Kaashoek (Amsterdam, The Netherlands) Heinz Langer (Vienna, Austria) Christiane Tretter (Bern, Switzerland)

Associate Editors: Vadim Adamyan (Odessa, Ukraine) Albrecht Böttcher (Chemnitz, Germany) B. Malcolm Brown (Cardiff, UK) Raul Curto (Iowa City, IA, USA) Fritz Gesztesy (Columbia, MO, USA) Pavel Kurasov (Lund, Sweden) Leonid E. Lerer (Haifa, Israel) Vern Paulsen (Houston, TX, USA) Mihai Putinar (Santa Barbara, CA, USA) Leiba Rodman (Williamsburg, VI, USA) Ilya M. Spitkovsky (Williamsburg, VI, USA)

Subseries Linear Operators and Linear Systems Subseries editors: Daniel Alpay (Beer Sheva, Israel) Birgit Jacob (Wuppertal, Germany) André C.M. Ran (Amsterdam, The Netherlands)

Subseries Advances in Partial Differential Equations Subseries editors: Bert-Wolfgang Schulze (Potsdam, Germany) Michael Demuth (Clausthal, Germany) Jerome A. Goldstein (Memphis, TN, USA) Nobuyuki Tose (Yokohama, Japan) Ingo Witt (Göttingen, Germany)

Honorary and Advisory Editorial Board: Lewis A. Coburn (Buffalo, NY, USA) Ciprian Foias (College Station, TX, USA) J. William Helton (San Diego, CA, USA) Thomas Kailath (Stanford, CA, USA) Peter Lancaster (Calgary, AB, Canada) Peter D. Lax (New York, NY, USA) Donald Sarason (Berkeley, CA, USA) Bernd Silbermann (Chemnitz, Germany) Harold Widom (Santa Cruz, CA, USA)

Convolution Equations and Singular Integral Operators Selected Papers of Israel Gohberg and Georg Heinig Israel Gohberg and Nahum Krupnik Translated from the Russian by Oleksiy Karlovych

Leonid Lerer Vadim Olshevsky Ilya M. Spitkovsky Editors

Birkhäuser

Editors: Leonid Lerer Department of Mathematics Technion – Israel Institute of Technology Haifa 32000 Israel e-mail: [email protected]

Ilya M. Spitkovsky Department of Mathematics College of William & Mary Williamsburg, VA 23187-8795 USA e-mail: [email protected]

Vadim Olshevsky Department of Mathematics University of Connecticut 196 Auditorium Road, U-9 Storrs, CT 06269 USA e-mail: [email protected]

2010 Mathematics Subject Classification: 15A09, 15A29, 15A33, 15B05, 15B33, 33C47, 45E05, 45E10, 45F05, 45Q05, 47A48, 47A56, 47A57, 47A62, 47B35, 47B38, 47G10, 47L15, 65F05, 65F30, 65R20, 65R32, 93A99 Library of Congress Control Number: 2010924098

Bibliographic information published by Die Deutsche Bibliothek. Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at http://dnb.ddb.de

ISBN 978-3-7643-8955-0 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 other ways, and storage in data banks. For any kind of use permission of the copyright owner must be obtained.

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