Fourier Transforms

Fourier Transforms by Richard R. Goldberg, published by Cambridge University Press on January 11, 2009, is an 88-page work presented in English. This book provides a clear exposition of the elementary theory of Fourier transforms, structured to facilitate access to the recently developed abstract theory of Fourier transforms on a locally compact group.
Readers will find that the text covers essential concepts and applications, particularly in relation to unitary representations of the rotation group, the Lorentz group, and other classical groups, which are significant in quantum field theory and various branches of mathematical physics. The book assumes prior knowledge of Lebesgue integration and includes a chapter on Riemann-Stieltjes integration, with all necessary results outlined in the introductory chapter.
Official synopsis Publisher
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.
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