TY - JOUR AU - V. V. Volchkov AU - I. M. Savost’yanova PY - 2015/02/25 Y2 - 2024/03/28 TI - Smoothing of the Singularities of Functions Whose Integrals over the Balls on a Sphere are Zero JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 67 IS - 2 SE - Short communications DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1979 AB - 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. ER -