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. 103–114DOI 10.4171/ZAA/811