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© 1995

Complex Analysis and Special Topics in Harmonic Analysis

Book

Table of contents

  1. Front Matter
    Pages i-x
  2. Carlos A. Berenstein, Roger Gay
    Pages 1-108
  3. Carlos A. Berenstein, Roger Gay
    Pages 109-197
  4. Carlos A. Berenstein, Roger Gay
    Pages 198-259
  5. Carlos A. Berenstein, Roger Gay
    Pages 260-298
  6. Carlos A. Berenstein, Roger Gay
    Pages 299-352
  7. Carlos A. Berenstein, Roger Gay
    Pages 353-469
  8. Back Matter
    Pages 471-482

About this book

Introduction

A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy-Riemann equation plays in modern complex analysis. Topics considered include: Boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.

Keywords

Complex analysis calculus differential equation functional analysis harmonic analysis

Authors and affiliations

  1. 1.Mathematics Department and Institute for Systems ResearchUniversity of MarylandCollege ParkUSA
  2. 2.Centre de Recherche en MathématiquesUniversité de Bordeaux ITalence (cedex)France

Bibliographic information

  • Book Title Complex Analysis and Special Topics in Harmonic Analysis
  • Authors Carlos A. Berenstein
    Roger Gay
  • DOI https://doi.org/10.1007/978-1-4613-8445-8
  • Copyright Information Springer-Verlag New York 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-94411-1
  • Softcover ISBN 978-1-4613-8447-2
  • eBook ISBN 978-1-4613-8445-8
  • Edition Number 1
  • Number of Pages X, 482
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
    Topological Groups, Lie Groups
  • Buy this book on publisher's site