Unitary Representations and Harmonic Analysis ：An Introduction ( 2 )

Publication subTitle ：An Introduction

Publication series ：2

Author： Sugiura   M.  

Publisher： Elsevier Science‎

Publication year： 1990

E-ISBN: 9780080887593

P-ISBN(Paperback): 9780444885937

P-ISBN(Hardback):  9780444885937

Subject： O174.3 harmonic functions and potential theory

Language： ENG

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Description

The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new appendix on Fatou's theorem has been added in connection with the limits of discrete series, and the bibliography has been tripled in length.

Chapter

Front Cover

pp.：  1 – 4

Unitary Representations and Harmonic Analysis

pp.：  4 – 5

Copyright Page

pp.：  5 – 14

Preface to the Second Edition

pp.：  8 – 10

Preface

pp.：  10 – 16

Contents

pp.：  14 – 8

Conventions and Notations

pp.：  16 – 18

Chapter I. Fourier series and the torus group T

pp.：  18 – 64

Chapter II. Representations of SU(2) and SO(3)

pp.：  64 – 118

Chapter III. The Fourier transform and unitary representations of Rn

pp.：  118 – 172

Chapter IV. The Euclidean motion group

pp.：  172 – 222

Chapter V. Unitary representation of SL(2, R)

pp.：  222 – 412

Appendix

pp.：  412 – 428

Notes

pp.：  428 – 434

Bibliography

pp.：  434 – 466

Index

pp.：  466 – 470

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