Eigenfunctions of the Laplace-Beltrami Operator on Hyperboloids

Details Eigenfunctions of the Laplace-Beltrami Operator on Hyperboloids Eigenfunctions of the Laplace-Beltrami Operator on Hyperboloids

2008-03-20

arxiv.org/abs/0803.2924v1

Tamkang Journal of Mathematics, Volume 39, No. 4, 335-339, Winter 2008.

Mathematics

Spectral Theory

5 pages

Scientific paper

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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