On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space

Authors : Gusein Sh. GUSEİNOV

Pages : 1-15

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Publication Date : 2013-04-01

Article Type : Other Papers

Abstract :We offer a new approach to solving the initial value problem for thewave equation in hyperbolic space in arbitrary dimensions. Our approach is based on the spectral analysis of the Laplace-Beltrami operator in hyperbolic space and some structural formulae for rapidlydecreasing functions of this operator.
Keywords : Hyperbolic space, Laplace Beltrami operator, wave equation, spectralprojection