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    Fourier Transforms

    ISBN-10: 0521095557
    ISBN-13: 9780521095556
    Author(s): Richard R. Goldberg
    Description: This tract gives a clear exposition of the elementary theory of Fourier transforms, so arranged as to give easy access to the recently developed abstract theory of Fourier transforms on a locally compact group. (This latter subject has important  More...
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    Publisher: Cambridge University Press
    Binding: Paperback
    Pages: 88
    Size: 5.51" wide x 8.50" long x 0.20" tall
    Weight: 0.264
    Language: English

    This tract gives a clear exposition of the elementary theory of Fourier transforms, so arranged as to give easy access to the recently developed abstract theory of Fourier transforms on a locally compact group. (This latter subject has important applications to the general treatment of unitary representations of the rotation group, the Lorentz group and other classical groups that is of value in quantum field theory and other branches of mathematical physics.) A knowledge of Lebesgue integration and, in one chapter, of Riemann-Stieltjes integration is assumed; the results needed are all stated in the introductory chapter.

    Preliminaries
    The Fourier transform on L1
    The Fourier transform on L2
    Generalizations of Wiener's theorem
    Bochner's theorem

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