This article is cited in 1 paper

Eigenfunctions of the Beltrami–Laplace operator on a hyperboloid of one sheet

V.-B. K. Rogov

Moscow State Correspondence Pedagogical Institute

Abstract: The Beltrami–Laplace operator $\Delta$ on a one-sheeted hyperboloid is hyperbolic. There is taken the set of functions bounded outside some neighborhood of two isotropic lines, intersecting at infinity. A necessary and sufficient condition is derived that a function of this set be an eigenfunction of the operator $\Delta$.

UDC: 513.78

Received: 22.06.1968

 English version: Mathematical Notes, 1970, 7:2, 152–157

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