Guseinov, Gusein Sh.Mathematics2024-10-062024-10-0620131303-5010https://search.trdizin.gov.tr/en/yayin/detay/224274/on-the-derivation-of-explicit-formulae-for-solutions-of-the-wave-equation-in-hyperbolic-spacehttps://hdl.handle.net/20.500.14411/8626We 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.eninfo:eu-repo/semantics/closedAccessHyperbolic spaceLaplace-Beltrami operatorwave equationspectral projectionArticleQ3Q3424395409WOS:0003290815000102242741