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An Introduction to the Theory of Multipliers

  • Book
  • © 1971

Overview

Authors:
  1. Ronald Larsen

    1. Department of Mathematics, Wesleyan University, Middletown, USA

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 175)

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Table of contents (8 chapters)

  1. Front Matter

    Pages N3-XXI
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  2. Prologue: The Multipliers for L1(G)

    • Ronald Larsen
    Pages 1-12

  3. The General Theory of Multipliers

    • Ronald Larsen
    Pages 13-60

  4. The Multipliers for Commutative H*-Algebras

    • Ronald Larsen
    Pages 61-65

  5. Multipliers for Topological Linear Spaces of Functions and Measures

    • Ronald Larsen
    Pages 66-90

  6. The Multipliers for L p (G)

    • Ronald Larsen
    Pages 91-133

  7. The Multipliers for the Pair (L p (G), L q (G)), 1 โ‰ฆ p, q โ‰ฆ โˆž

    • Ronald Larsen
    Pages 134-194

  8. The Multipliers for Functions with Fourier Transforms in L p (ฤœ)

    • Ronald Larsen
    Pages 195-217

  9. The Multipliers for the Pair (H p (G), H q (G)),1 โ‰ฆ p, q โ‰ฆ โˆž

    • Ronald Larsen
    Pages 218-224

  10. Back Matter

    Pages 225-284
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Keywords

About this book

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 the preliminary version of the present work which was published in the Springer Lecture Notes in Mathematics, Volume 105, and is even more acute now, after the revision, expansion and emendation of that manuscript needed to produce the present volume. Consequently, as before, the treatment given in the following pages is eclectric rather than definitive. The choice and presentation of the topics is certainly not unique, and reflects both my personal preferences and inadequacies, as well as the necessity of restricting the book to a reasonable size. Throughout I have given special emphasis to the funcยญ tional analytic aspects of the characterization problem for multipliers, and have, generally, only presented the commutative version of the theory. I have also, hopefully, provided too many details for the reader rather than too few.

Authors and Affiliations

  • Department of Mathematics, Wesleyan University, Middletown, USA

    Ronald Larsen

Bibliographic Information

  • Book Title: An Introduction to the Theory of Multipliers

  • Authors: Ronald Larsen

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-65030-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin ยท Heidelberg 1971

  • Softcover ISBN: 978-3-642-65032-1Published: 11 November 2011

  • eBook ISBN: 978-3-642-65030-7Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: XXII, 284

  • Topics: Analysis

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