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Izvestiya: Mathematics, 2010, Volume 74, Issue 4, Pages 691–721
DOI: https://doi.org/10.1070/IM2010v074n04ABEH002503 (Mi im2798) 		 
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
English version PDF (469 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM2010v074n04ABEH002503
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.
Received: 28.04.2008
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2010, Volume 74, Issue 4, Pages 33–62
DOI: https://doi.org/10.4213/im2798
Bibliographic databases:
Document Type: Article
UDC: 517.444+517.988.28
MSC: 43A85, 22E30, 43A90, 44A35, 53C35, 53C65
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v74/i4/p33
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Èçâåñòèÿ Ðîññèéñêîé àêàäåìèè íàóê. Ñåðèÿ ìàòåìàòè÷åñêàÿ Izvestiya: Mathematics
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