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Publisher: Cambridge Univ PressSubject: hyperbolic space

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    On the Resolvent of the Laplace-Beltrami Operator in Hyperbolic Space
    (Cambridge Univ Press, 2015) Guseinov, Gusein Sh.
    In this paper, a detailed description of the resolvent of the Laplace-Beltrami operator in n-dimensional hyperbolic space is given. The resolvent is an integral operator with the kernel (Green's function) being a solution of a hypergeometric differential equation. Asymptotic analysis of the solution of this equation is carried out.