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On a two-point homogeneous space X, we consider the problem of describing the set of continuous functions having zero integrals over all spheres enclosing the given ball. We obtain the… Click to show full abstract
On a two-point homogeneous space X, we consider the problem of describing the set of continuous functions having zero integrals over all spheres enclosing the given ball. We obtain the solution of this problem and its generalizations for an annular domain in X. By way of applications, we prove new uniqueness theorems for functions with zero spherical means.
Keywords:
point homogeneous;
analogs globevnik;
two point;
globevnik problem;
problem
Journal Title: Mathematical Notes
Year Published: 2017
Link to full text (if available)
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Journal Title: Mathematical Notes
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!