Fourier Transforms and Approximations (English, A. M. Sedletskii)
CRC Press

Fourier Transforms and Approximations (English, A. M. Sedletskii)

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ISBN-139789056992347
ISBN-109056992341

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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 on the behaviour 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 no…

ISBN: 9789056992347

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