ENGLISH

Introduction to Harmonic Analysis and Generalized Gelfand Pairs

By Gerrit van Dijk

Book information

Publisher
de Gruyter
Year
2009
ISBN
3110220199, 9783110220193, 9783110220209, 3110220202
Language
english
Format
PDF
Filesize
1 MB (1225104 bytes)
Series
De Gruyter Studies in Mathematics
Edition
1
Pages
223\234
Scanned
yes
Time added
2012-03-17 06:00:00

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

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