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Izvestiya: Mathematics, 2001, Volume 65, Issue 2, Pages 207–229
DOI: https://doi.org/10.1070/im2001v065n02ABEH000326 (Mi im326) 		 
This article is cited in 12 scientific papers (total in 12 papers)

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

V. V. Volchkov

Donetsk National University
English version PDF (281 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/im2001v065n02ABEH000326
Abstract: 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.
Received: 01.10.1999
Bibliographic databases:
MSC: 30C62, 30F40, 53C65, 44A35, 44A12, 43A85, 42A38, 42B10, 43A90, 47G10, 45P05, 31A05
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, “A definitive version of the local two-radii theorem on hyperbolic spaces”, Izv. Math., 65:2 (2001), 207–229
Citation in format AMSBIB
\Bibitem{Vol01}
\by V.~V.~Volchkov
\paper A~definitive version of the local two-radii theorem on hyperbolic spaces
\jour Izv. Math.
\yr 2001
\vol 65
\issue 2
\pages 207--229
\mathnet{http://mi.mathnet.ru/eng/im326}
\crossref{https://doi.org/10.1070/im2001v065n02ABEH000326}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1842839}
\zmath{https://zbmath.org/?q=an:0991.43006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747021374}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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