On -solutions of the Laplace equation and zeros of holomorphic functions
Joaquim Bruna, Joaquim Ortega-Cerdà (1997)
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Joaquim Bruna, Joaquim Ortega-Cerdà (1997)
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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.