Smoothing of the Singularities of Functions Whose Integrals over the Balls on a Sphere are Zero
Abstract
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.Downloads
Published
25.02.2015
Issue
Section
Short communications
How to Cite
Volchkov, V. V., and I. M. Savost’yanova. “Smoothing of the Singularities of Functions Whose Integrals over the Balls on a Sphere Are Zero”. Ukrains’kyi Matematychnyi Zhurnal, vol. 67, no. 2, Feb. 2015, pp. 272-8, https://umj.imath.kiev.ua/index.php/umj/article/view/1979.