Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-24T18:20:26.957Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)