@article{Volchkov_Savost’yanova_2015, title={Smoothing of the Singularities of Functions Whose Integrals over the Balls on a Sphere are Zero}, volume={67}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1979}, abstractNote={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.}, number={2}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Volchkov, V. V. and Savost’yanova, I. M.}, year={2015}, month={Feb.}, pages={272-278} }