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Fourier Transforms and Approximations (Analytical Methods and Special Functions) [Hardcover]

By A M Sedletskii (Author)
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Item description for Fourier Transforms and Approximations (Analytical Methods and Special Functions) by A M Sedletskii...

The volume considers Fourier transforms which are analytical functions and their applications to the approximations by exponentials and by powers on the subsets of the real axis.
Three classes of Fourier transforms are presented: Fourier (Laplace) transforms on the halfline, Fourier transforms of measures with compact support and Fourier transforms of rapidly decreasing functions (on whole line). The focus is the behavior of Fourier transforms in the region of analyticity and the distribution of their zeros. Applications of results are presented: approximation by exponentials on the finite interval; behavior of the nonharmonic Fourier series; Muntz-Szasz's problem of approximation by powers on unit interval; approximation by weighted exponentials on whole line.

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Item Specifications...

Studio: CRC Press
Pages   272
Est. Packaging Dimensions:   Length: 10" Width: 6.9" Height: 0.91"
Weight:   1.64 lbs.
Binding  Hardcover
Release Date   Sep 20, 2000
Publisher   CRC
ISBN  9056992341  
ISBN13  9789056992347  

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1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
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5Books > Subjects > Science > Mathematics > Applied
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7Books > Subjects > Science > Mathematics > Mathematical Analysis
8Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > Intermediate

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