Fourier Transforms
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.
1100947065
Fourier Transforms
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.
51.0 In Stock
Fourier Transforms

Fourier Transforms

by Richard R. Goldberg
Fourier Transforms

Fourier Transforms

by Richard R. Goldberg

Paperback

$51.00 
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Overview

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.

Product Details

ISBN-13: 9780521095556
Publisher: Cambridge University Press
Publication date: 01/11/2009
Series: Cambridge Tracts in Mathematics , #52
Pages: 88
Product dimensions: 5.40(w) x 8.40(h) x 0.40(d)

Table of Contents

1. Preliminaries; 2. The Fourier transform on L1; 3. The Fourier transform on L2; 4. Generalizations of Wiener's theorem; 5. Bochner's theorem.
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