Asymptotic expansion of solutions of Laplace-Beltrami type singular operators
Volume 113 / 1995
Studia Mathematica 113 (1995), 25-42
DOI: 10.4064/sm-113-1-25-42
Abstract
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.
