Conical Uniqueness Sets for the Spherical Radon Transform | Zendy

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

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Conical Uniqueness Sets for the Spherical Radon Transform

Author(s) -

Agranovsky M. L.,

Volchkov V. V.,

Zalcman L. A.

Publication year - 1999

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609398005396

Subject(s) - mathematics , uniqueness , conical surface , radon transform , homogeneous , mathematics subject classification , zero (linguistics) , mathematical analysis , polynomial , set (abstract data type) , spherical harmonics , harmonic function , homogeneous polynomial , pure mathematics , combinatorics , geometry , matrix polynomial , linguistics , philosophy , computer science , programming language

Let K be a cone in R n . 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. 1991 Mathematics Subject Classification 44A12.

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