書誌事項

A panorama of harmonic analysis

Stephen G. Krantz

(The Carus mathematical monographs, v. 27)

MAA Press, 2019, c1999

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注記

Originally published: Mathematical Association of America, 1999

Includes bibliographical references (p. 339-345) and index

内容説明・目次

内容説明

A Panorama of Harmonic Analysis treats the subject of harmonic analysis, from its earliest beginnings to the latest research. Following both an historical and a conceptual genesis, the book discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean space. The climax of the book is a consideration of the earlier ideas from the point of view of spaces of homogeneous type. The book culminates with a discussion of wavelets-one of the newest ideas in the subject. A Panorama of Harmonic Analysis is intended for graduate students, advanced undergraduates, mathematicians, and anyone wanting to get a quick overview of the subject of cummutative harmonic analysis. Applications are to mathematical physics, engineering and other parts of hard science. Required background is calculus, set theory, integration theory, and the theory of sequences and series.

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詳細情報

  • NII書誌ID(NCID)
    BB29286336
  • ISBN
    • 9781470451127
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Providence, R.I.
  • ページ数/冊数
    xvi, 357 p.
  • 大きさ
    22 cm
  • 分類
  • 件名
  • 親書誌ID
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