Tables of Fourier Transforms and Fourier Transforms of Distributions

Catégorie

Stochastics

Boutique

Wordery

Marque

Springer berlin heidelberg

Tables of Fourier Transforms and Fourier Transforms of Distributions : Springer : 9783540506300 : 3540506306 : 18 Apr 1990 : These tables represent a new, revised and enlarged version of the previously published book by this author, entitled "Tabellen zur Fourier Transformation" (Springer Verlag 1957). Known errors have been correc­ ted, apart from the addition of a considerable number of new results, which involve almost exclusively higher functions. Again, the follow­ ing tables contain a collection of integrals of the form J f(x)cos(xy)dx Fourier Cosine Transform (Al o (B) J f(x)sin(xy)dx Fourier Sine Transform o (C) ge(y) = J f(x)eixYdx Exponential Fourier Transform -00 Clearly, (A) and (B) are special cases of (C) if f(x) is respec­ tively an even or an odd function. The transform parameter y in (A) and (B) is assumed to be positive, while in (C) negative values are also included. A possible analytic continuation to complex parameters y* should present no difficulties. In some cas

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