Eigenfunctions of the Laplace-Beltrami Operator on Hyperboloids
Spectral Theory
2009-03-12 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.0803.2924,
title = {Eigenfunctions of the Laplace-Beltrami Operator on Hyperboloids},
author = {Amritanshu Prasad and M. K. Vemuri},
journal= {arXiv preprint arXiv:0803.2924},
year = {2009}
}
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5 pages