Open AccessOn Asymptotics for a Class of Radial Fourier Transforms
Author(s) -
Eli Liflyand,
Walter Trebels
Publication year - 1998
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/811
Subject(s) - class (philosophy) , fourier transform , mathematics , mathematical analysis , computer science , artificial intelligence
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 1 . The function class in question is compared with related classes already considered in the literature.
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