Generalized Multiresolution Analyses
This monograph presents the first unified exposition of generalized multiresolution analyses. Expanding on the author’s pioneering work in the field, these lecture notes provide the tools and framework for using GMRAs to extend results from classical wave
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Kathy D. Merrill
Generalized Multiresolution Analyses
Lecture Notes in Applied and Numerical Harmonic Analysis Series Editor John J. Benedetto University of Maryland College Park, MD, USA Editorial Advisory Board Emmanuel Candes Stanford University Stanford, CA, USA Peter Casazza University of Missouri Columbia, MO, USA Gitta Kutyniok Technische Universität Berlin Berlin, Germany Ursula Molter Universidad de Buenos Aires Buenos Aires, Argentina Michael Unser Ecole Polytechnique Federale de Lausanne Lausanne, Switzerland
More information about this series at http://www.springer.com/series/4968
Kathy D. Merrill
Generalized Multiresolution Analyses
Kathy D. Merrill Department of Mathematics The Colorado College Colorado Springs, CO, USA
ISSN 2296-5009 ISSN 2296-5017 (electronic) Applied and Numerical Harmonic Analysis ISSN 2512-6482 ISSN 2512-7209 (electronic) Lecture Notes in Applied and Numerical Harmonic Analysis ISBN 978-3-319-99174-0 ISBN 978-3-319-99175-7 (eBook) https://doi.org/10.1007/978-3-319-99175-7 Library of Congress Control Number: 2018954118 Mathematics Subject Classification: 42-02, 42C40, 42C15, 43A40, 28A80, 20H15, 65T60 © Springer Nature Switzerland AG 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This book is published under the imprint Birkhäuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
LN-ANHA Series Preface
The Lecture Notes in Applied and Numerical Harmonic Analysis (LN-ANHA) book series is a subseries of the widely known Applied and Numerical Harmonic Analysis (ANHA) series. The Lecture Notes series publishes paperback volumes, ranging from 80 to 200 pages in harmonic analysis as well as in engineering and scientific subjects having a significant harmonic analysis component. LN-ANHA provides a means
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