A UNIQUENESS RESULT FOR THE FOURIER TRANSFORM OF MEASURES ON THE SPHERE

Authors

  • Francisco Javier González Vieli

Keywords:

Heisenberg uniqueness, Fourier transform, measure, sphere

Abstract

A finite measure supported by the unit sphere in $\R^n$ and absolutely continuous with respect to the natural measure on the unit sphere is entirely determined by the restriction of its Fourier transform to a sphere of radius $r$ if and only $2\pi r$ is not a zero of any Bessel function $J_{d+(n-2)/2}$ with $d$ a non negative integer. DOI: 10.1017/S0004972711002942

Published

2012-06-25

Issue

Vol. 86 No. 1 (2012)

Section

Articles
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