Geodesic
Boundary uniqueness theorems for functions whose integrals over hyperbolic discs vanish
Sbornik. Mathematics, Tome 204 (2013) no. 2, pp. 264-279 Cet article a éte moissonné depuis la source Math-Net.Ru

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Sharp conditions are found describing the admissible rate of decrease of a nontrivial function whose integrals over all hyperbolic discs with fixed radius vanish. For the first time, the boundary behaviour of the function is investigated in a neighbourhood of a single point on the boundary of the domain of definition. Bibliography: 17 titles.
Keywords: boundary uniqueness theorem, hyperbolic space
Mots-clés : Möbius transformations. 
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O. A. Ochakovskaya. Boundary uniqueness theorems for functions whose integrals over hyperbolic discs vanish. Sbornik. Mathematics, Tome 204 (2013) no. 2, pp. 264-279. http://geodesic.mathdoc.fr/item/SM_2013_204_2_a5/

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