Tables of Fourier Transforms and Fourier Transforms of Distributions - Fritz Oberhettinger - Libros - Springer-Verlag Berlin and Heidelberg Gm - 9783540506300 - 18 de abril de 1990
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Fritz Oberhettinger
Tables of Fourier Transforms and Fourier Transforms of Distributions Softcover reprint of the original 1st ed. 1990 edition

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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 cases the result function g(y) is given over a partial range of y only. This means that g(y) for the remaining part of y cannot be given in a reasonably simple form. Under certain conditions the following inversion formulas for (A), (B), (C) hold: (A' ) f(x) = 2 J g (y)cos(xy)dy 11 0 c 2 J (B') f (x) gs(y)sin(xy)dy 11 0 -1 00 -ix (C' ) f(x) = (211) J ge(y)e Ydy In the following parts I, II, III tables for the transforms (A), (B) and (C) are given.

259 pages, biography

Medios de comunicación Libros     Paperback Book   (Libro con tapa blanda y lomo encolado)
Publicado 18 de abril de 1990
ISBN13 9783540506300
Editores Springer-Verlag Berlin and Heidelberg Gm
Páginas 259
Dimensiones 155 × 235 × 14 mm   ·   385 g
Lengua Inglés  

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