Functions of Bounded Variation and Their Fourier Transforms
Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Ha
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Elijah Liflyand
Functions of Bounded Variation and Their Fourier Transforms
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 Johns Hopkins University Baltimore, MD, 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 Hong Kong University of Science & Technology Kowloon, Hong Kong
Jelena Kovaevi Carnegie Mellon University Pittsburgh, PA, USA
For further volumes: http://www.springer.com/series/4968
Elijah Liflyand
Functions of Bounded Variation and Their Fourier Transforms
Elijah Liflyand Department of Mathematics Bar-Ilan University Ramat-Gan, Israel
ISSN 2296-5009 ISSN 2296-5017 (electronic) Applied and Numerical Harmonic Analysis ISBN 978-3-030-04428-2 ISBN 978-3-030-04429-9 (eBook) https://doi.org/10.1007/978-3-030-04429-9 Library of Congress Control Number: 2018968411 Mathematics Subject Classification (2010): 42A38, 42A32, 42A50, 42B10, 42B05, 42B30, 42B35, 26A45, 26A46, 26B30 © Springer Nature Switzerland AG 2019 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
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