Theory of Discrete and Continuous Fourier Analysis

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Theory of Discrete and Continuous Fourier Analysis image
ISBN-10:

0471628727

ISBN-13:

9780471628729

Edition: 1
Released: Jan 17, 1989
Format: Hardcover, 307 pages

Description:

A companion volume to Weaver's Applications of Discrete and Continuous Fourier Analysis (Wiley, 1983). Addresses the theoretical and analytical aspects of Fourier analysis, including topics usually found only in more advanced treatises. Provides background information before going on to cover such topics as existence of the inner product, distribution theory, Fourier series representation of complex functions, properties and behavior of the Fourier transform, Fourier transform of a distribution, physical interpretation of convolution, the fast Fourier transform, sampling a function, and much more. Includes exercises, problems, applications, over 150 illustrations, and a Fourier transform FORTRAN subroutine.

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