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Zeitschrift für Analysis und ihre Anwendungen

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Volume 17, Issue 1, 1998, pp. 103–114
DOI: 10.4171/ZAA/811

Published online: 1998-03-31

On Asymptotics for a Class of Radial Fourier Transforms

Eli Liflyand[1] and W. Trebels[2]

(1) Bar-Ilan University, Ramat Gan, Israel
(2) Technische Hochschule Darmstadt, Germany

A connection is established between the multidimensional Fourier transform of a radial function $f$ from a given class and the one-dimensional Fourier transform of a related function. This is applied to give an asymptotic formula for the Fourier transform of $f$. The function class in question is compared with related classes already considered in the literature.

Keywords: Radial functions, Fourier transform, asymptotics, multipliers

Liflyand Eli, Trebels W.: On Asymptotics for a Class of Radial Fourier Transforms. Z. Anal. Anwend. 17 (1998), 103-114. doi: 10.4171/ZAA/811