This article is cited in 15 papers

Spherical functions on hyperboloids

V. F. Molchanov


Abstract: 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.

UDC: 517.56

MSC: 22E45, 33A75, 43A90

Received: 05.03.1974

 English version: Mathematics of the USSR-Sbornik, 1976, 28:2, 119–139

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