RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izv. RAN. Ser. Mat., 2010, Volume 74, Issue 4, Pages 33–62 (Mi izv2798)  
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: PDF file (708 kB)
References: PDF file   HTML file

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

Citation in format AMSBIB
\Bibitem{VolVol10}
\by V.~V.~Volchkov, Vit. V. Volchkov
\paper On a problem of Berenstein--Gay and its generalizations
\jour Izv. RAN. Ser. Mat.
\yr 2010
\vol 74
\issue 4
\pages 33--62
\mathnet{http://mi.mathnet.ru/izv2798}
\crossref{https://doi.org/10.4213/im2798}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2730009}
\zmath{https://zbmath.org/?q=an:1247.43011}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2010IzMat..74..691V}
\elib{http://elibrary.ru/item.asp?id=20358753}
\transl
\jour Izv. Math.
\yr 2010
\vol 74
\issue 4
\pages 691--721
\crossref{https://doi.org/10.1070/IM2010v074n04ABEH002503}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000281623100002}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78049331370}


Linking options:
  • http://mi.mathnet.ru/eng/izv2798
  • https://doi.org/10.4213/im2798
  • http://mi.mathnet.ru/eng/izv/v74/i4/p33

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. V. Volchkov, Vit. V. Volchkov, “Spherical means on two-point homogeneous spaces and applications”, Izv. Math., 77:2 (2013), 223–252  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    		• Èçâåñòèÿ Ðîññèéñêîé àêàäåìèè íàóê. Ñåðèÿ ìàòåìàòè÷åñêàÿ Izvestiya: Mathematics
    Number of views:
    This page:334
    Full text:80
    References:46
    First page:3
     
    Contact us:
    		  Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019