Spherical functions on hyperboloids
Sbornik. Mathematics, Tome 28 (1976) no. 2, pp. 119-139

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Spherical (zonal) functions on the hyperboloid $-x_1^2-\dots-x_p^2+x_{p+1}^2+\dots+x_{p+q}^2=1$ corresponding to unitary representations of the group $SO(p,q)$ connected with a cone (RZhMat., 1970, 7B710) are defined and computed. Bibliography: 15 titles.
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     author = {V. F. Molchanov},
     title = {Spherical functions on hyperboloids},
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     number = {2},
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V. F. Molchanov. Spherical functions on hyperboloids. Sbornik. Mathematics, Tome 28 (1976) no. 2, pp. 119-139. http://geodesic.mathdoc.fr/item/SM_1976_28_2_a0/