The extension problem for functions with zero weighted spherical means |
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Authors: | Vit V Volchkov N P Volchkova |
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Institution: | 1.Donetsk National University,Donetsk,Ukraine;2.Donetsk National Technical University,Donetsk,Ukraine |
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Abstract: | We study functions on a sphere with a pricked point having zero integrals with a given weight over all admissible “hemispheres”. We find a condition under which the point is a removable set for such a class of functions. We show that this condition cannot be dropped or substantially weakened. |
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