Eigenfunctions of the Laplace-Beltrami operator on hyperboloids

Prasad, Amritanshu ; Vemuri, M. K. (2008) Eigenfunctions of the Laplace-Beltrami operator on hyperboloids Tamkang Journal of Mathematics, 39 (4). pp. 335-339. ISSN 0049-2930

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Official URL: http://doi.org/10.5556/j.tkjm.39.2008.7

Related URL: http://dx.doi.org/10.5556/j.tkjm.39.2008.7

Abstract

Eigenfunctions of the Laplace-Beltrami operator on a hyperboloid are studied in the spirit of the treatment of the spherical harmonics by Stein and Weiss. As a special case, a simple self-contained proof of Laplace's integral for a Legendre function is obtained.

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