ISBN-10:
3110220199
ISBN-13:
9783110220193
Pub. Date:
11/16/2009
Publisher:
De Gruyter
Introduction to Harmonic Analysis and Generalized Gelfand Pairs

Introduction to Harmonic Analysis and Generalized Gelfand Pairs

by Gerrit van Dijk

Hardcover

Current price is , Original price is $133.0. You
Select a Purchase Option
  • purchase options
    $114.40 $133.00 Save 14% Current price is $114.4, Original price is $133. You Save 14%.
  • purchase options

Overview

Introduction to Harmonic Analysis and Generalized Gelfand Pairs

This book is intended as an introduction to harmonic analysis and generalized Gelfand pairs. Starting with the elementary theory of Fourier series and Fourier integrals, the author proceeds to abstract harmonic analysis on locally compact abelian groups and Gelfand pairs. Finally a more advanced theory of generalized Gelfand pairs is developed.

This book is aimed at advanced undergraduates or beginning graduate students. The scope of the book is limited, with the aim of enabling students to reach a level suitable for starting PhD research. The main prerequisites for the book are elementary real, complex and functional analysis. In the later chapters, familiarity with some more advanced functional analysis is assumed, in particular with the spectral theory of (unbounded) self-adjoint operators on a Hilbert space.

From the contents

  • Fourier series
  • Fourier integrals
  • Locally compact groups
  • Haar measures
  • Harmonic analysis on locally compact abelian groups
  • Theory and examples of Gelfand pairs
  • Theory and examples of generalized Gelfand pairs

Product Details

ISBN-13: 9783110220193
Publisher: De Gruyter
Publication date: 11/16/2009
Series: De Gruyter Studies in Mathematics Series , #36
Pages: 232
Product dimensions: 6.90(w) x 9.60(h) x 0.70(d)
Age Range: 18 Years

About the Author

Gerrit van Dijk, Leiden University, Netherlands

Customer Reviews

Most Helpful Customer Reviews

See All Customer Reviews