Asymptotic expansion of solutions of Laplace-Beltrami type singular operators

• Autorzy: Maria E. Pliś
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46F15: Hyperfunctions, analytic functionals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 113
• Numer: 1
• Strony: 25-42

Daty

wydano

1995

otrzymano

1992-11-24

Twórcy

autor

Maria E. Pliś

• Department of Mathematics, Kraków Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Bibliografia

• [1] M. E. Pliś, The Mellin analytic functionals and the Laplace-Beltrami operator on the Minkowski half-plane, Studia Math. 99 (1991), 263-276.
• [2] M. E. Pliś and M. Sękowska, Mellin transform in Laplace-Beltrami equation, Opuscula Math. 5(1277) (1989), 109-116.
• [3] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Kluwer Academic Publishers, 1992.
• [4] K. Yoshino, Some examples of analytic functionals and their transformations, Tokyo J. Math. 5 (1982), 479-490.
• [5] 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.