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Article On the Functions of Two Commuting Laplace-Beltrami Operators in Hyperbolic Space(Pergamon-elsevier Science Ltd, 2014) Guseinov, Gusein ShWe 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.
