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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