On a theorem of John and its generalizations

Author I. M. Savostyanova, Vit. V. Volchkov
Donetsk National University

Abstract The purpose of this paper is to consider some generalizations of the class of functions having zero integrals over balls of a fixed radius. We obtain an analog of John's uniqueness theorem for weighted spherical means on sphere.
Keywords spherical means; spherical cap; Legendre functions
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Pages 16-22
Volume 40
Issue 1
Year 2013
Journal Matematychni Studii
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