A uniform lp estimate of bessel functions and distributions supported on Sn-1

Abstract

A uniform Lp estimate of Bessel functions is obtained, which is used to get a characterization of the L2 measures on the unit sphere of Rn in terms of the mixed Lp norm of the Fourier transform of the measures.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1090/s0002-9939-97-03667-8

Publication Date

1-1-1997

Journal Title

Proceedings of the American Mathematical Society

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