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This article is cited in 1 scientific paper (total in 1 paper)
On a problem of Berenstein–Gay and its generalizations
V. V. Volchkov, Vit. V. Volchkov Donetsk National University
Abstract:
We obtain a solution of the Berenstein–Gay problem on the local analogue
of spectral analysis on Riemannian symmetric spaces $X$
of rank 1. The proof is based on constructing transmutation
maps connected with eigenfunction expansions
of the Laplace–Beltrami operator on $X$.
Keywords:
spectral analysis, functions periodic on average, symmetric spaces.
DOI:
https://doi.org/10.4213/im2798
Full text:
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English version:
Izvestiya: Mathematics, 2010, 74:4, 691–721
Bibliographic databases:
UDC:
517.444+517.988.28
MSC: 43A85, 22E30, 43A90, 44A35, 53C35, 53C65 Received: 28.04.2008
Citation:
V. V. Volchkov, Vit. V. Volchkov, “On a problem of Berenstein–Gay and its generalizations”, Izv. RAN. Ser. Mat., 74:4 (2010), 33–62; Izv. Math., 74:4 (2010), 691–721
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Linking options:
http://mi.mathnet.ru/eng/izv2798https://doi.org/10.4213/im2798 http://mi.mathnet.ru/eng/izv/v74/i4/p33
Citing articles on Google Scholar:
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Related articles on Google Scholar:
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This publication is cited in the following articles:
-
V. V. Volchkov, Vit. V. Volchkov, “Spherical means on two-point homogeneous spaces and applications”, Izv. Math., 77:2 (2013), 223–252
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