Four Short Courses on Harmonic Analysis Wavelets, Frames, Time-Frequ
This state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field, including cosmic microwave background analysis, human cortex image denoising, and wireless communication. The
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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
Wim Sweldens Lucent Technologies, Bell Laboratories
Michael Unser Swiss Federal Institute of Technology, Lausanne
Martin Vetterli Swiss Federal Institute of Technology, Lausanne
M. Victor Wickerhauser Washington University
Brigitte Forster • Peter Massopust Editors
Four Short Courses on Harmonic Analysis Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis
With Contributions by Ole Christensen Karlheinz Gröchenig Demetrio Labate Pierre Vandergheynst Guido Weiss Yves Wiaux
Birkh¨auser Boston • Basel • Berlin
Editors Brigitte Forster Zentrum Mathematik, M6 Technische Universität München Boltzmannstraße 3 85748 Garching b. München Germany [email protected]
Peter Massopust Institute of Biomathematics and Biometry Helmholtz Zentrum München Ingolstädter Landstraße 1 85764 Neuherberg Germany [email protected] and Zentrum Mathematik, M6 Technische Universität München Boltzmannstraße 3 85748 Garching b. München Germany [email protected]
ISBN 978-0-8176-4890-9 e-ISBN 978-0-8176-4891-6 DOI 10.1007/978-0-8176-4891-6 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2009939428 Mathematics Subject Classification (2000): 42B35, 42Cxx, 41A15, 43A90, 68U10, 92C55, 94Axx © Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Birkhäuser Boston, c/o Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.
Printed on acid-free paper Birkhäuser Boston is part of Springer Science+Business Media (www.birkhauser.com)
ANHA Series Preface
The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract harmonic analysis to basic applications. The title of the series reflects the importance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the interleaving of theory and applicatio
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