A Panorama of Harmonic Analysis (Carus Mathematical Monographs S. No. 27)

A Panorama of Harmonic Analysis (Carus Mathematical Monographs S. No. 27)

By: Steven G. Krantz (author)Hardback

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Description

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.

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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.

Product Details

  • publication date: 02/09/1999
  • ISBN13: 9780883850312
  • Format: Hardback
  • Number Of Pages: 370
  • ID: 9780883850312
  • weight: 575
  • ISBN10: 0883850311

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