Gusein Sh. Guseinov
Abstract
We describe the structure of an arbitrary rapidly decreasing function of the Laplace–Beltrami operator in n-dimensional hyperbolic space showing that the function of the Laplace–Beltrami operator is an integral operator and giving an explicit formula for its kernel.
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We describe the structure of an arbitrary rapidly decreasing function of the Laplace–Beltrami operator in n-dimensional hyperbolic space showing that the function of the Laplace–Beltrami operator is an integral operator and giving an explicit formula for its kernel.
Key concepts: Mathematics, Laplace–Beltrami operator, Operator (biology), Laplace transform, Mathematical analysis, Space (punctuation), Green's function for the three-variable Laplace equation, Kernel (algebra)