Fourier Transforms and Approximations

By: A M Sedletskii

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eText | 20 September 2000 | Edition Number 1

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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. Application