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Russian Academy of Sciences. Sbornik. Mathematics, 1993, Volume 75, Issue 2, Pages 371–404
DOI: https://doi.org/10.1070/SM1993v075n02ABEH003390 (Mi sm1041) 		 
Eigenfunctions of the Beltrami–Laplace operator on homogeneous pseudo-Riemannian symmetric spaces of rank 1

V.-B. K. Rogov
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DOI: https://doi.org/10.1070/SM1993v075n02ABEH003390
Abstract: The Beltrami–Laplace operator on a homogeneous pseudo-Riemannian symmetric space of rank 1 is ultrahyperbolic in general. The present article gives a description of the eigenfunctions of this operator in a space of generalized functions with a restriction on their growth at infinity.
Received: 08.02.1991
Bibliographic databases:
UDC: 517.44+517.588
MSC: Primary 43A85, 35P10, 44A15; Secondary 53C35, 35J05, 58G30, 58G15
Language: English
Original paper language: Russian
Citation: V. K. Rogov, “Eigenfunctions of the Beltrami–Laplace operator on homogeneous pseudo-Riemannian symmetric spaces of rank 1”, Russian Acad. Sci. Sb. Math., 75:2 (1993), 371–404
Citation in format AMSBIB
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\by V.~K.~Rogov
\paper Eigenfunctions of the Beltrami--Laplace operator on homogeneous pseudo-Riemannian symmetric spaces of rank 1
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 75
\issue 2
\pages 371--404
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