# Asymptotic expansion of solutions of Laplace-Beltrami type singular operators

Studia Mathematica (1995)

- Volume: 113, Issue: 1, page 25-42
- ISSN: 0039-3223

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topPliś, Maria. "Asymptotic expansion of solutions of Laplace-Beltrami type singular operators." Studia Mathematica 113.1 (1995): 25-42. <http://eudml.org/doc/216157>.

@article{Pliś1995,

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.},

author = {Pliś, Maria},

journal = {Studia Mathematica},

keywords = {Mellin analytic functionals with unbounded carrier; generalized Mellin transform; Laplace-Beltrami type singular equations on a hyperbolic space},

language = {eng},

number = {1},

pages = {25-42},

title = {Asymptotic expansion of solutions of Laplace-Beltrami type singular operators},

url = {http://eudml.org/doc/216157},

volume = {113},

year = {1995},

}

TY - JOUR

AU - Pliś, Maria

TI - Asymptotic expansion of solutions of Laplace-Beltrami type singular operators

JO - Studia Mathematica

PY - 1995

VL - 113

IS - 1

SP - 25

EP - 42

AB - 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.

LA - eng

KW - Mellin analytic functionals with unbounded carrier; generalized Mellin transform; Laplace-Beltrami type singular equations on a hyperbolic space

UR - http://eudml.org/doc/216157

ER -

## References

top- [1] M. E. Pliś, The Mellin analytic functionals and the Laplace-Beltrami operator on the Minkowski half-plane, Studia Math. 99 (1991), 263-276. Zbl0743.46036
- [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. Zbl0771.35002
- [4] K. Yoshino, Some examples of analytic functionals and their transformations, Tokyo J. Math. 5 (1982), 479-490. Zbl0512.46043
- [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. Zbl0512.30016

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