2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222886Eigenfunctions 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.5 pagesSpectral TheoryRepresentation Theory33C55; 43A90text