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Citation - WoS: 1
Citation - Scopus: 1
On the Eigenfunction Expansion of the Laplace-Beltrami Operator in Hyperbolic Space
(Taylor & Francis Ltd, 2015) Guseinov, Gusein Sh.
We 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 function
On the Functions of Two Commuting Laplace-Beltrami Operators in Hyperbolic Space
(Pergamon-elsevier Science Ltd, 2014) Guseinov, Gusein Sh
We describe the structure of arbitrary rapidly decreasing two-variable function of two commuting Laplace-Beltrami operators in the product of two many-dimensional hyperbolic spaces showing that the function of the commuting Laplace-Beltrami operators is an integral operator and giving an explicit formula for its kernel.