Ukrainian Mathematical Journal

, Volume 67, Issue 2, pp 314–322 | Cite as

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

  • Vit. V. Volchkov
  • I. M. Savost’yanova
Brief Communications

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.


Symmetric Space Heisenberg Group Quasiconformal Mapping Integral Geometry Radon Transform 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Vit. V. Volchkov
    • 1
  • I. M. Savost’yanova
    • 1
  1. 1.Donetsk National UniversityDonetskUkraine

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