An Introduction to the Theory of Multipliers
When I first considered writing a book about multipliers, it was my intention to produce a moderate sized monograph which covered the theory as a whole and which would be accessible and readable to anyone with a basic knowledge of functional and harmonic
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llerausgegeben von J. L. Doob· A. Grothendieck· E. Heinz· F. Hirzebruch E. Hopf . H. Hopf . W. Maak . S. MacLane . W. Magnus M. M. Postnikov . F. K. Schmidt· D. S. Scott· K. Stein
Geschiiftsfuhrende 11erausgeber B. Eckmann und B. L. van der Waerden
Ronald Larsen
An Introduction to the Theory of Multipliers
Springer-Verlag New York Heidelberg Berlin 1971
Professor
RONALD LARSEN
Department of Mathematics, Wesleyan University Middletown, U.S.A.
Geschiiftsfiihrende Herausgeber
Prof. Dr. B. Eckmann Eidgenossische Technische Hochschule Ziirich
Prof. Dr. B. L. van der Waerden Mathematisches Institut der Universitiit Ziirich
AMS Subject Classifications (1970): 43-02, 43 A 22, 42-02, 42A18, 46-02, 46J99
ISBN -13 :978-3-642-65032-1 e-ISBN-13:978-3-642-65030-7 DOl: 10.1007/978-3-642-65030-7 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means. and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount ofthe fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin' Heidelberg 1971. Library of Congress Catalog Card Number 78-134023. Softcover reprint of the hardcover 1st edition 1971
Ronald Larsen
An Introduction to the Theory of Multipliers
Springer-Verlag Berlin Heidelberg New York 1971
Professor
RONALD LARSEN
Department of Mathematics, Wesleyan University Middletown, U.S.A.
Geschiiftsfiihrende Herausgeber
Prof. Dr. B. Eckmann Eidgenossische Technische Hochschule Ziirich
Prof. Dr. B. L. van der Waerden Mathematisches Institut der Universitiit Zurich
AMS Subject Classifications (1970): 43-02, 43A22, 42-02, 42A18, 46-02, 46J99
e-ISBN -13: 978-3-642-65030-7 ISBN -13 :978-3-642-65032-1 DOl: 10.1007/978-3-642-65030-7
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting. re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means. and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin' Heidelberg 1971. Library of Congress Catalog Card Number 78-134023. Printed in Germany. Type-setting and printing: Universitatsdruckerei Stiirtz, Wiirzburg
To the memory of my mother
Preface When I first considered writing a book about multipliers, it was my intention to produce a moderate sized monograph which covered the theory as a whole and which would be accessible and readable to anyone with a basic knowledge of functional and harmonic analysis. I soon realized, however, that such a goal could not be attained. This realization is apparent in the preface to
