Analog of the John theorem for weighted spherical means on a sphere

We study generalizations of the class of functions with zero integrals over the balls of fixed radius. An analog of the John uniqueness theorem is obtained for weighted spherical means on a sphere.

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Bibliographic Details
Date:2013
Main Authors: Volchkov, V. V., Savost’yanova, I. M., Волчков, Вит. В., Савостьянова, И. М.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2445
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal