An introduction to harmonic analysis

Yitzhak Katznelson

First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.

「Nielsen BookData」より

First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.

「Nielsen BookData」より

[目次]

  • 1. Fourier series on T
  • 2. The convergence of Fourier series
  • 3. The conjugate function
  • 4. Interpolation of linear operators
  • 5. Lacunary series and quasi-analytic classes
  • 6. Fourier transforms on the line
  • 7. Fourier analysis on locally compact Abelian groups
  • 8. Commutative Banach algebras
  • A. Vector-valued functions
  • B. Probabilistic methods.

「Nielsen BookData」より

[目次]

  • 1. Fourier series on T
  • 2. The convergence of Fourier series
  • 3. The conjugate function
  • 4. Interpolation of linear operators
  • 5. Lacunary series and quasi-analytic classes
  • 6. Fourier transforms on the line
  • 7. Fourier analysis on locally compact Abelian groups
  • 8. Commutative Banach algebras
  • A. Vector-valued functions
  • B. Probabilistic methods.

「Nielsen BookData」より

この本の情報

書名 An introduction to harmonic analysis
著作者等 Katznelson, Yitzhak
シリーズ名 Cambridge mathematical library
出版元 Cambridge University Press
刊行年月 c2004
版表示 3rd ed
ページ数 xv, 314 p.
大きさ 23-24 cm
ISBN 0521838290
9780521543590
NCID BA67151436
※クリックでCiNii Booksを表示
言語 英語
出版国 イギリス
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