Title of article :
ON THE DERIVATION OF EXPLICIT FORMULAE FOR SOLUTIONS OF THE WAVE EQUATION IN HYPERBOLIC SPACE
Author/Authors :
Guseinov, Gusein Sh. Atilim University - Department of Mathematics, Turkey
Abstract :
We offer a new approach to solving the initial value problem for the wave 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 rapidly decreasing functions of this operator.
Keywords :
Hyperbolic space , Laplace , Beltrami operator , wave equation , spectral projection.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
