Smoothing of the Singularities of Functions Whose Integrals over the Balls on a Sphere are Zero

We study functions defined on a sphere with prickled point whose integrals over all admissible “hemispheres” are equal to zero. A condition is established under which the point is a removable set for this class of functions. It is shown that this condition cannot be omitted or noticeably weakened....

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Bibliographic Details
Date:2015
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 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1979
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal