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

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Anahtar Kelimeler:

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

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.

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