Wavelet Analysis and Applications

This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an ap

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Editorial Advisory Board Akram Aldroubi Vanderbild University

Douglas Cochran Arizona State University

Ingrid Daubechies Princeton University

Hans G. Feichtinger University of Vienna

Christopher Heil Georgia Institute of Technology

Murat Kunt Swiss Federal Institute of Technology, Lausanne

James McClellan Georgia Institute of Technology Michael Unser Swiss Federal Institute of Technology, Lausanne M. Victor Wickerhauser Washington University

Wim Sweldens Lucent Technologies, Bell Laboratories Martin Vetterli Swiss Federal Institute of Technology, Lausanne

Martin Väth

Wavelet Analysis and Applications Nonstandard Analysis Qian Tao Vai Mang I Xu Yuesheng Editors

Birkhäuser Verlag Basel · Boston · Berlin

Autoren: Qian Tao Vai Mang I Faculty of Science and Technology University of Macau P.O. Box 3001 Macau

Xu Yuesheng Department of Mathematics 215 Carnegie Hall Syracuse University Syracuse, NY 13244-1150 USA

2000 Mathematical Subject Classification 03H05, 26E35, 46S20 (primary); 03C20, 03C62, 03C98, 26A03, 46A99, 46B08, 46M07, 54A99, 54E15 (secondary)

Library of Congress Control Number: 2006936001

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 .

ISBN 978-3-7643-7777-9 Birkhäuser Verlag, Basel – Boston – Berlin 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. © 2007 Birkhäuser Verlag, P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced from chlorine-free pulp. TCF f Printed in Germany ISBN 10: 3-7643-7777-1 e-ISBN-10: 3-7643-7778-X ISBN 13: 978-3-7643-7777-9 e-ISBN-13: 978-3-7643-7778-6 987654321

www.birkhauser.ch

              

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