On asymptotics for a class of radial Fourier transforms

E. Liflyand; W. Trebels

doi:10.4171/ZAA/811

On asymptotics for a class of radial Fourier transforms

E. Liflyand, W. Trebels

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	103-114
Number of pages	12
Journal	Zeitschrift fur Analysis und ihre Anwendung
Volume	17
Issue number	1
DOIs	https://doi.org/10.4171/ZAA/811
State	Published - 1998

Keywords

Asymptotics
Fourier transform
Multipliers
Radial functions

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On asymptotics for a class of radial Fourier transforms

Abstract

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