A panaroma [i.e. panorama] of harmonic analysis

Steven G. Krantz

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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[目次]

  • 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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この本の情報

書名 A panaroma [i.e. panorama] of harmonic analysis
著作者等 Krantz, Steven G.
Krantz Steven G.
書名別名 A panorama of harmonic analysis
シリーズ名 The Carus mathematical monographs
出版元 Mathematical Association of America
刊行年月 c1999
ページ数 xvi, 357 p.
大きさ 22 cm
ISBN 0883850311
NCID BA42820274
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言語 英語
出版国 アメリカ合衆国
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