JournalszaaVol. 17, No. 1pp. 103–114

On Asymptotics for a Class of Radial Fourier Transforms

  • Eli Liflyand

    Bar-Ilan University, Ramat Gan, Israel

  • W. Trebels

    Technische Hochschule Darmstadt, Germany
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Abstract

A connection is established between the multidimensional Fourier transform of a radial function 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 . The function class in question is compared with related classes already considered in the literature.

Cite this article

Eli Liflyand, W. Trebels, On Asymptotics for a Class of Radial Fourier Transforms. Z. Anal. Anwend. 17 (1998), no. 1, pp. 103–114

DOI 10.4171/ZAA/811