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The removability problem for functions with zero spherical means

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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… Click to show full 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.

Keywords: spherical means; removability problem; functions zero; zero spherical; problem functions

Journal Title: Siberian Mathematical Journal
Year Published: 2017

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