Conical uniqueness sets for the spherical Radon transform

M. L. Agranovsky; V. V. Volchkov; L. A. Zalcman

doi:10.1112/s0024609398005396

Conical uniqueness sets for the spherical Radon transform

M. L. Agranovsky, V. V. Volchkov, L. A. Zalcman

Department of Mathematics

Donetsk National University

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

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.

Original language	English
Pages (from-to)	231-236
Number of pages	6
Journal	Bulletin of the London Mathematical Society
Volume	31
Issue number	2
DOIs	https://doi.org/10.1112/s0024609398005396
State	Published - Mar 1999

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title = "Conical uniqueness sets for the spherical Radon transform",

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.",

author = "Agranovsky, {M. L.} and Volchkov, {V. V.} and Zalcman, {L. A.}",

year = "1999",

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AU - Agranovsky, M. L.

AU - Volchkov, V. V.

AU - Zalcman, L. A.

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Y1 - 1999/3

N2 - 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.

AB - 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

Abstract

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