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

  • V. V. Volchkov
  • I. M. Savost’yanova

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.
Published
25.02.2015
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, http://umj.imath.kiev.ua/index.php/umj/article/view/1979.
Section
Short communications