A~definitive version of the local two-radii theorem on hyperbolic spaces

V. V. Volchkov

Izvestiya. Mathematics , Tome 65 (2001) no. 2, pp. 207-229.

Résumé

The paper deals with various classes of functions that have zero integrals over all balls of a fixed radius in hyperbolic spaces. We describe these classes in terms of series in special functions and prove a uniqueness theorem. These results enabled us to obtain a definitive version of the local two-radii theorem.

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