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On a theorem of John and its generalizations
Journal: Matematychni Studii (Vol.40, No. 1)Publication Date: 2013-07-01
Authors : Savostyanova I. M.; Volchkov Vit. V.;
Page : 16-22
Keywords : spherical means; spherical cap; Legendre functions;
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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.
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Last modified: 2014-01-13 20:10:12