Geodesic
The Fourier--Mellin--Whittacker transform on horospheres of homogeneous
Sbornik. Mathematics, Tome 66 (1990) no. 2, pp. 343-361

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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. 
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     author = {V. K. Rogov},
     title = {The {Fourier--Mellin--Whittacker} transform on horospheres of homogeneous},
     journal = {Sbornik. Mathematics},
     pages = {343--361},
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     volume = {66},
     number = {2},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1990_66_2_a2/}
}
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V. K. Rogov. The Fourier--Mellin--Whittacker transform on horospheres of homogeneous. Sbornik. Mathematics, Tome 66 (1990) no. 2, pp. 343-361. http://geodesic.mathdoc.fr/item/SM_1990_66_2_a2/