Numerical Fourier Analysis
This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods. It starts with a detailed discussion of classical Fourier theory to enable readers to gr
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Gerlind Plonka Daniel Potts Gabriele Steidl Manfred Tasche
Numerical Fourier Analysis
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
Gerlind Plonka • Daniel Potts • Gabriele Steidl • Manfred Tasche
Numerical Fourier Analysis
Gerlind Plonka University of Göttingen G¨ottingen, Germany
Daniel Potts Chemnitz University of Technology Chemnitz, Germany
Gabriele Steidl TU Kaiserslautern Kaiserslautern, Germany
Manfred Tasche University of Rostock Rostock, Germany
ISSN 2296-5009 ISSN 2296-5017 (electronic) Applied and Numerical Harmonic Analysis ISBN 978-3-030-04305-6 ISBN 978-3-030-04306-3 (eBook) https://doi.org/10.1007/978-3-030-04306-3 Library of Congress Control Number: 2018963834 Mathematics Subject Classification (2010): 42-01, 65-02, 42A10, 42A16, 42A20, 42A38, 42A85, 42B05, 42B10, 42C15, 65B05, 65D15, 65D32, 65F35, 65G50, 65T40, 65T50, 65Y20, 94A11, 94A12, 94A20, 15A12, 15A22 © 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.c
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