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Asymptotic expansion of solutions of Laplace-Beltrami type singular operators

Maria Pliś (1995)

Studia Mathematica

The theory of Mellin analytic functionals with unbounded carrier is developed. The generalized Mellin transform for such functionals is defined and applied to solve the Laplace-Beltrami type singular equations on a hyperbolic space. Then the asymptotic expansion of solutions is found.

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