Eigenfunctions of the Laplace-Beltrami Operator on Hyperboloids
classification
🧮 math.SP
math.RT
keywords
eigenfunctionslaplace-beltramioperatorcasefunctionharmonicshyperboloidhyperboloids
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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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