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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 3, Pages 535–563
DOI: https://doi.org/10.1070/IM1976v010n03ABEH001717 (Mi im2142) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Harmonic analysis on Riemannian symmetric spaces of negative curvature and scattering theory

M. A. Semenov-Tian-Shansky
English version PDF (1292 kB) Citations (17) Russian version article
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DOI: https://doi.org/10.1070/IM1976v010n03ABEH001717
Abstract: Harmonic analysis on a Riemannian symmetric space can be connected with the study of a nonstationary system of equations that has been constructed with respect to the ring of Laplace operators. The scattering theory for this system generalizes the scattering theory for hyperbolic equations constructed by Lax and Phillips. The paper contains a series of new spectral theorems generalizing the Harish–Chandra theorem and a formulation of a causality principle for scattering operators.
Bibliography: 23 titles.
Received: 23.12.1974
Bibliographic databases:
UDC: 512.4+513.83
MSC: Primary 43A85; Secondary 35P25
Language: English
Original paper language: Russian
Citation: M. A. Semenov-Tian-Shansky, “Harmonic analysis on Riemannian symmetric spaces of negative curvature and scattering theory”, Math. USSR-Izv., 10:3 (1976), 535–563
Citation in format AMSBIB
\Bibitem{Sem76}
\by M.~A.~Semenov-Tian-Shansky
\paper Harmonic analysis on Riemannian symmetric spaces of negative curvature and
scattering theory
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 3
\pages 535--563
\mathnet{http://mi.mathnet.ru//eng/im2142}
\crossref{https://doi.org/10.1070/IM1976v010n03ABEH001717}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=467179}
\zmath{https://zbmath.org/?q=an:0354.35071}
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  • https://www.mathnet.ru/eng/im/v40/i3/p562
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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