Eigenfunctions of the Laplace-Beltrami operator on hyperboloids

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Published: Dec 1, 2008
DOI: https://doi.org/10.5556/j.tkjm.39.2008.7

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Amritanshu Prasad
M. K. Vemuri

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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How to Cite
Prasad, A., & Vemuri, M. K. (2008). Eigenfunctions of the Laplace-Beltrami operator on hyperboloids. Tamkang Journal of Mathematics, 39(4), 335–339. https://doi.org/10.5556/j.tkjm.39.2008.7
Issue
Vol. 39 No. 4 (2008)
Section
Papers
Author Biographies

Amritanshu Prasad

The Institute of Mathematical Sciences, CIT campus Taramani, Chennai 600113.

M. K. Vemuri

Chennai Mathematical Institute, Plot H1, SIPCOT IT Park, Padur PO, Siruseri 603103.