A Panorama of Harmonic Analysis

Front Cover
Cambridge University Press, Sep 2, 1999 - Mathematics - 357 pages
0 Reviews
Tracing a path from the earliest beginnings of Fourier series through to the latest research A Panorama of Harmonic Analysis discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean space. The climax is a consideration of ideas from the point of view of spaces of homogeneous type, which culminates in a discussion of wavelets. This book is intended for graduate students and advanced undergraduates, and mathematicians of whatever background who want a clear and concise overview of the subject of commutative harmonic analysis.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Fourier Series Basics
31
The Fourier Transform
95
Multiple Fourier Series
121
Spherical Harmonics
171
Fractional Integrals Singular Integrals
199
Modern Theories of Integral Operators
235
Wavelets
273
A Retrospective
313
Table of Notation
327
Index
347
Copyright

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information