The removability problem for functions with zero spherical means
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DOI: 10.1134/s0037446617030065
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… read more here.
Keywords: spherical means; removability problem; functions zero; zero spherical ... See more keywords
On Functions with Zero Integral Moments over Balls of Fixed Radius
Sign Up to like & getrecommendations! Published in 2018 at "Doklady Mathematics"
DOI: 10.1134/s1064562418030213
Abstract: We consider precise conditions ensuring that a function having zero integrals over all balls of fixed radius is equal to zero. The case where, together with zero integrals for f over congruent balls, the functions… read more here.
Keywords: balls fixed; integral moments; zero integral; zero integrals ... See more keywords