This article is cited in 1 paper

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

V.-B. K. Rogov


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.

UDC: 517.44 + 517.588

MSC: Primary 43A85, 44A15, 47G05, 53C35; Secondary 53C20, 58G15

Received: 08.10.1987

 English version: Mathematics of the USSR-Sbornik, 1990, 66:2, 343–361

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