Abstract
We study the functions on the punctured n-dimensional sphere having zero integrals over all admissible “hemispheres.” We find a condition for the point to be a removable set for this class of functions and show that the condition cannot be dropped or substantially improved.
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Original Russian Text Copyright © 2017 Volchkov Vit.V. and Volchkova N.P.
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Volchkov, V.V., Volchkova, N.P. The removability problem for functions with zero spherical means. Sib Math J 58, 419–426 (2017). https://doi.org/10.1134/S0037446617030065
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DOI: https://doi.org/10.1134/S0037446617030065