Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 4
On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space
- Sayfa
- 6456–8540
- DOI
- —
Özet
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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.