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A Panorama of Harmonic Analysis

Part of Carus Mathematical Monographs

Author: Steven Krantz, Washington University, St Louis

Date Published: September 1999
availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
format: Hardback
isbn: 9780883850312

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About the Authors

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.
- Accessible to undergraduates as well as graduates
- Contains right up-to-date material
- Author has taught this material throughout the USA
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Product details
- Date Published: September 1999
- format: Hardback
- isbn: 9780883850312
- length: 370 pages
- dimensions: 213 x 149 x 31 mm
- weight: 0.575kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Table of Contents
0. An overview of measure theory and functional analysis
1. Fourier series basics
2. The Fourier transform
3. Multiple Fourier series
4. Spherical harmonics
5. Fractional integrals, singular integrals and Hardy spaces
6. Modern theories of integral operators
7. Wavelets
8. A retrospective
Appendices.
Author
Steven Krantz, Washington University, St Louis