A Panorama of Harmonic Analysis (Carus Mathematical Monographs S. No. 27)
By: Steven G. Krantz (author)Hardback
1 - 2 weeks availability
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.
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.
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- ID: 9780883850312
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