Harmonic Analysis
The reader is assumed to know the elementary part of complex funCtion theory, general topology, integration, and linear spaces. All the needed information is contained in a usual first-year graduate course on analysis. These prerequisites are modest but e
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The Wadsworth & Brooks/Cole Mathematics Series Series Editors Raoul H. Bott, Harvard University David Eisenbud, Brandeis University Hugh L. Montgomery, University of Michigan Paul J. Sally, University of Chicago Barry Simon, California Institute of Technology Richard P. Stanley, Massachusetts Institute of Technology M. Adams, V. Guillemin, Measure Theory and Probability
w. Beckner, A. Calderon, R. Fefferman, P. Jones, Conference on Harmonic Analysis in Honor of Antoni Zygmund G. Chartrand, L. Lesniak, Graphs & Digraphs, Second Edition J. Cochran, Applied Mathematics: Principles, Techniques, and Applications W. Derrick, Complex Analysis and Applications, Second Edition J. Dieudonne, History of Algebraic Geometry R. Dudley, Real Analysis and Probability R. Durrett, Brownian Motion and Martingales in Analysis R. Epstein, W. Carnielli, Computability: Computable Functions, Logic, and the Foundations of Mathematics S. Fisher, Complex Variables, Second Edition P. Garrett, Holomorphic Hilbert Modular Forms A. Garsia, Topics in Almost Everywhere Convergence R. Gunning, Introduction to Holomorphic Functions of Several Variables Volume I: Function Theory Volume II: Local Theory Volume III: Homological Theory H. Helson, Harmonic Analysis J. Kevorkian, Partial Differential Equations: Analytical Solution Techniques R. McKenzie, G. McNulty, W. Taylor, Algebras, Lattices, Varieties, Volume I E. Mendelson, Introduction to Mathematical Logic, Third Edition B. Sagan, The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions R. Salem, Algebraic Numbers and Fourier Analysis, and L. Carleson, Selected Problems on Exceptional Sets R. Stanley, Enumerative Combinatorics, Volume I J. Strikwerda, Finite Difference Schemes and Partial Differential Equations K. Stromberg, An Introduction to Classical Real Analysis
Harmonic Analysis
Henry Helson University of California, Berkeley
Wadsworth & Brooks/Cole Advanced Books & Software Pacific Grove, California
Wadsworth & Brooks/Cole Advanced Books & Software A Division of Wadsworth, Inc. ©1983 by Addison~Wesley Publishing Company, Inc. ©1991 by Wadsworth, Inc., Belmont, California 94002. All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transcribed, in any form or by any means--electronic, mechanical, photocopying, recording, or otherwise-without the prior written permission of the publisher, Wadsworth & Brooks/Cole Advanced Books & Software, Pacific Grove, California 93950, a division of Wadsworth, Inc.
1098765432 Library of Congress Cataloging-in-Publication Data
Helson, Henry. Harmonic analysis / Henry Helson. p. cm. -- (The Wadsworth & Brooks/Cole mathematics series) Reprint. Originally published: Reading, Mass. : Addison-Wesley, 1983. Includes bibliographical references and index. ISBN 978-0-534-15570-4 ISBN 978-1-4615-7181-0 (eBook) DOI 10.1007/978-1-4615-7181-0 I. Harmonic analysis. I. Title. II. Series. QA403.H36 1991 515' .2433-dc20
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