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Introduction to Harmonic Analysis and Generalized Gelfand Pairs on Hardback by Gerrit Van Dijk
Introduction to Harmonic Analysis and Generalized Gelfand Pairs on Hardback by Gerrit Van Dijk
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Introduction to Harmonic Analysis and Generalized Gelfand Pairs

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Description

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  

Author Biography:

Gerrit van Dijk, Leiden University, Netherlands
Release date Australia
November 16th, 2009
Audiences
  • Professional & Vocational
  • Professional & Vocational
Pages
232
Dimensions
170x240x14
ISBN-13
9783110220193
Product ID
3643216

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