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Mathematics of the USSR-Sbornik, 1990, Volume 66, Issue 2, Pages 343–361
DOI: https://doi.org/10.1070/SM1990v066n02ABEH001175
(Mi sm1614)
 

This article is cited in 1 scientific paper (total in 1 paper)

The Fourier–Mellin–Whittacker transform on horospheres of homogeneous pseudo-riemannian symmetric space of rank 1

V.-B. K. Rogov
References:
Abstract: An integral transformation carrying the Laplace–Beltrami operator on a homogeneous symmetric pseudo-Riemannian space of rank 1 into an ordinary differential operator is constructed. Spaces dual with respect to this transformation are determined, along with bounded operators on them.
Bibliography: 14 titles.
Received: 08.10.1987
Russian version:
Matematicheskii Sbornik, 1989, Volume 180, Number 3, Pages 336–353
Bibliographic databases:
UDC: 517.44 + 517.588
MSC: Primary 43A85, 44A15, 47G05, 53C35; Secondary 53C20, 58G15
Language: English
Original paper language: Russian
Citation: V. K. Rogov, “The Fourier–Mellin–Whittacker transform on horospheres of homogeneous pseudo-riemannian symmetric space of rank 1”, Mat. Sb., 180:3 (1989), 336–353; Math. USSR-Sb., 66:2 (1990), 343–361
Citation in format AMSBIB
\Bibitem{Rog89}
\by V.~K.~Rogov
\paper The Fourier--Mellin--Whittacker transform on horospheres of homogeneous
pseudo-riemannian symmetric space of rank~1
\jour Mat. Sb.
\yr 1989
\vol 180
\issue 3
\pages 336--353
\mathnet{http://mi.mathnet.ru/sm1614}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=993229}
\zmath{https://zbmath.org/?q=an:0698.43008|0683.43005}
\transl
\jour Math. USSR-Sb.
\yr 1990
\vol 66
\issue 2
\pages 343--361
\crossref{https://doi.org/10.1070/SM1990v066n02ABEH001175}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990DY49300003}
Linking options:
  • https://www.mathnet.ru/eng/sm1614
  • https://doi.org/10.1070/SM1990v066n02ABEH001175
  • https://www.mathnet.ru/eng/sm/v180/i3/p336
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:875
    Russian version PDF:264
    English version PDF:15
    References:59
    First page:1
     
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