A Panorama of Harmonic Analysis
A Panorama of Harmonic Analysis
Steven Krantz, Washington University, St Louis
September 1999
Available in limited markets only
Hardback
9780883850312
£34.99
GBPHardback
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
Product details
September 1999Hardback
9780883850312
370 pages
213 × 149 × 31 mm
0.575kg
Available
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.
