- Hacettepe Journal of Mathematics and Statistics
- Vol: 42 Issue: 4
- On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space
On the Derivation of Explicit Formulae for Solutions of the Wave Equation in Hyperbolic Space
Authors : Gusein Sh. Guseinov
Pages : 1-15
View : 9 | Download : 2
Publication Date : 2013-04-01
Article Type : Other
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.