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

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.

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

Abstract

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Keywords

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References

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