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Sbornik: Mathematics, 2013, Volume 204, Issue 2, Pages 264–279
DOI: https://doi.org/10.1070/SM2013v204n02ABEH004300 (Mi sm8110) 		 
Boundary uniqueness theorems for functions whose integrals over hyperbolic discs vanish

O. A. Ochakovskaya

Institute for Applied Mathematics and Mechanics, National Academy of Sciences of the Ukraine, Donetsk
English version PDF (489 kB) Russian version article
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DOI: https://doi.org/10.1070/SM2013v204n02ABEH004300
Abstract: 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, Möbius transformations.
Received: 06.02.2012 and 12.10.2012
Bibliographic databases:
Document Type: Article
UDC: 517.444
MSC: 26B35, 43A85
Language: English
Original paper language: Russian
Citation: O. A. Ochakovskaya, “Boundary uniqueness theorems for functions whose integrals over hyperbolic discs vanish”, Sb. Math., 204:2 (2013), 264–279
Citation in format AMSBIB
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