ArticleOriginal scientific text
Title
Asymptotic expansion of solutions of Laplace-Beltrami type singular operators
Authors 1
Affiliations
- Department of Mathematics, Kraków Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland
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.
Bibliography
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- M. E. Pliś and M. Sękowska, Mellin transform in Laplace-Beltrami equation, Opuscula Math. 5(1277) (1989), 109-116.
- Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Kluwer Academic Publishers, 1992.
- K. Yoshino, Some examples of analytic functionals and their transformations, Tokyo J. Math. 5 (1982), 479-490.
- K. Yoshino, Lerch's theorem for analytic functionals with non-compact carrier and its applications to entire functions, Complex Variables Theory Appl. 2 (1984), 303-318.
Pages:
25-42
Main language of publication
English
Received
1992-11-24
Published
1995
Exact and natural sciences