文档介绍：Universitext
Editorial Board
(North America):
S. Axler
. Gehring
. Ribet
Anton Deitmar
A First Course in
Harmonic Analysis
Second Edition
Anton Deitmar
Department of Mathematics
University of Exeter
Exeter, Devon EX4 4QE
UK
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Editorial Board
(North America):
S. Axler . Gehring
Mathematics Department Mathematics Department
San Francisco State University East Hall
San Francisco, CA 94132 University of Michigan
USA Ann Arbor, MI 48109-1109
USA
. Ribet
Mathematics Department
University of California, Berkeley
Berkeley, CA 94720-3840
USA
Mathematics Subject Classification (2000): 43-01, 42Axx, 22Bxx, 20Hxx
Library of Congress Cataloging-in-Publication Data
Deitmar, Anton.
A first course in harmonic analysis / Anton Deitmar. – 2nd ed.
p. cm. —(Universitext)
Includes bibliographical references and index.
ISBN 0-387-22837-3 (alk. paper)
1. Harmonic analysis. I. Title.
QA403 .D44 2004
515′.2433—dc22 2004056613
ISBN 0-387-22837-3 Printed on acid-free paper.
© 2005, 2002 Springer-Verlag New York, Inc.
All rights reserved. This work may not be translated or copied in whole or in part without the
written permission of the publisher (Springer Science+Business Media, Inc., 233 Spring Street, New
York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis.
Use in connection with any form of information storage and retrieval, electronic adaptation, com-
puter software, or by similar or dissimilar methodology now known or hereafter developed is for-
bidden.
The use in this publication of trade names, trademarks, service marks, and similar terms, even if
they are not identified as such, is not to be taken as an expression of opinion as to whether or not
they are subject to proprietary rights.
posed copy prepared from the author’s files.
Printed in the United States of America. (MP)
987654321 SPIN 11019138
v
Preface to the second edition
This b