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CONICAL UNIQUENESS SETS FOR THE SPHERICAL RADON TRANSFORM

Published online by Cambridge University Press:  01 March 1999

M. L. AGRANOVSKY ,
V. V. VOLCHKOV  and
L. A. ZALCMAN
M. L. AGRANOVSKY
Affiliation:
Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel
V. V. VOLCHKOV
Affiliation:
Cathedra of Mathematical Analysis and Theory of Functions, Donetsk State University, Universitetskaya 24, Donetsk 340055, Ukraine
L. A. ZALCMAN
Affiliation:
Department of Mathematics and Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel
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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.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 2 , March 1999 , pp. 231 - 236
Copyright
© The London Mathematical Society 1999

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