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.Comment: 5 page

Prasad, Amritanshu

Vemuri, M. K.

English

arXiv

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

Eigenfunctions of the Laplace-Beltrami Operator on Hyperboloids

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