Frames and Other Bases in Abstract and Function Spaces Novel Methods

The first of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Alon

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Isaac Pesenson Quoc Thong Le Gia Azita Mayeli Hrushikesh Mhaskar Ding-Xuan Zhou Editors

Frames and Other Bases in Abstract and Function Spaces Novel Methods in Harmonic Analysis, Volume 1

Applied and Numerical Harmonic Analysis Series Editor John J. Benedetto University of Maryland College Park, MD, USA Editorial Advisory Board Akram Aldroubi Vanderbilt University Nashville, TN, USA

Gitta Kutyniok Technische Universität Berlin Berlin, Germany

Douglas Cochran Arizona State University Phoenix, AZ, USA

Mauro Maggioni Duke University Durham, NC, USA

Hans G. Feichtinger University of Vienna Vienna, Austria

Zuowei Shen National University of Singapore Singapore, Singapore

Christopher Heil Georgia Institute of Technology Atlanta, GA, USA

Thomas Strohmer University of California Davis, CA, USA

Stéphane Jaffard University of Paris XII Paris, France

Yang Wang Michigan State University East Lansing, MI, USA

Jelena Kovaˇcevi´c Carnegie Mellon University Pittsburgh, PA, USA

More information about this series at http://www.springer.com/series/4968

Isaac Pesenson • Quoc Thong Le Gia Azita Mayeli • Hrushikesh Mhaskar Ding-Xuan Zhou Editors

Frames and Other Bases in Abstract and Function Spaces Novel Methods in Harmonic Analysis, Volume 1

Editors Isaac Pesenson Department of Mathematics Temple University Philadelphia, PA, USA

Quoc Thong Le Gia School of Mathematics and Statistics University of New South Wales Sydney, NSW, Australia

Azita Mayeli Department of Mathematics The Graduate Center, CUNY New York, NY, USA

Hrushikesh Mhaskar Institute of Mathematical Sciences Claremont Graduate University Claremont, CA, USA

Ding-Xuan Zhou Department of Mathematics City University of Hong Kong Kowloon Tong, Hong Kong

ISSN 2296-5009 ISSN 2296-5017 (electronic) Applied and Numerical Harmonic Analysis ISBN 978-3-319-55549-2 ISBN 978-3-319-55550-8 (eBook) DOI 10.1007/978-3-319-55550-8 Library of Congress Control Number: 2017939349 Mathematics Subject Classification (2010): 22E25, 30H20, 30J99, 33C45, 41A05, 41A10, 41A55, 41A63, 41A99, 41C10, 42C15, 42A38, 42B10 42C40, 42C99, 43A30, 43A85, 43A90, 45C99, 47B32, 47B38, 47H99, 53C17, 58C05, 58C35, 58C99, 94A08, 94A11, 94A12, 94A20 © Springer International Publishing AG 2017 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 ad