Guseinov, Gusein Sh.Mathematics2024-07-052024-07-0520151747-69331747-694110.1080/17476933.2015.10121632-s2.0-84938749687https://doi.org/10.1080/17476933.2015.1012163https://hdl.handle.net/20.500.14411/785We describe the spectral projection of the Laplace-Beltrami operator in n-dimensional hyperbolic space by studying its resolvent as an analytic operator-valued function and applying the technique of contour integration. As a result an integral formula is established for the associated Legendre functioneninfo:eu-repo/semantics/closedAccesshyperbolic spaceLaplace-Beltrami operatorspectral projectioneigenfunction expansionassociated Legendre functionArticleQ2Q3601013091326WOS:0003595969000011