On a theorem of John and its generalizations

I. M. Savostyanova, Vit. V. Volchkov; Vit. V. Volchkov

	On a theorem of John and its generalizations
Author	I. M. Savostyanova, Vit. V. Volchkov cavost@mail.ru 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
DOI	doi:10.30970/ms.40.1.16-22
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Pages	16-22
Volume	40
Issue	1
Year	2013
Journal	Matematychni Studii
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Table of content of issue	HTML