CONICAL UNIQUENESS SETS FOR THE SPHERICAL RADON TRANSFORM

M. L. AGRANOVSKY; V. V. VOLCHKOV; L. A. ZALCMAN

doi:10.1112/S0024609398005396

Abstract

Let K be a cone in ℝn. Then K is a uniqueness set for the spherical Radon transform if and only if it is not contained in the zero set of any (nontrivial) homogeneous harmonic polynomial. A local version of this result is also proved.

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CONICAL UNIQUENESS SETS FOR THE SPHERICAL RADON TRANSFORM

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