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Sbornik: Mathematics, 2007, Volume 198, Issue 11, Pages 1553–1577
DOI: https://doi.org/10.1070/SM2007v198n11ABEH003896 (Mi sm1487) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Local two-radii theorem in symmetric spaces

V. V. Volchkov

Donetsk National University
English version PDF (515 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM2007v198n11ABEH003896
Abstract: Various classes of functions on a non-compact rank-one Riemannian symmetric space $X$ with vanishing integrals over all balls of fixed radius are studied. A description in the form of a series in hypergeometric functions is obtained for such classes and a uniqueness theorem is proved. This makes it possible to establish the local two-radii theorem in $X$ in a definitive form.
Bibliography: 45 titles.
Received: 28.12.2005
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 11, Pages 21–46
DOI: https://doi.org/10.4213/sm1487
Bibliographic databases:
UDC: 517.988.28
MSC: Primary 26B15, 53C65; Secondary 53C35
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, “Local two-radii theorem in symmetric spaces”, Mat. Sb., 198:11 (2007), 21–46; Sb. Math., 198:11 (2007), 1553–1577
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Russian version PDF:206
    English version PDF:13
    References:53
    First page:2
     
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