Asymptotic expansion of solutions of Laplace-Beltrami type singular operators
Studia Mathematica, Tome 113 (1995) no. 1, pp. 25-42
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.
@article{10_4064_sm_113_1_25_42,
author = {Maria E. Pli\'s},
title = {Asymptotic expansion of solutions of {Laplace-Beltrami} type singular operators},
journal = {Studia Mathematica},
pages = {25--42},
year = {1995},
volume = {113},
number = {1},
doi = {10.4064/sm-113-1-25-42},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-113-1-25-42/}
}
TY - JOUR AU - Maria E. Pliś TI - Asymptotic expansion of solutions of Laplace-Beltrami type singular operators JO - Studia Mathematica PY - 1995 SP - 25 EP - 42 VL - 113 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-113-1-25-42/ DO - 10.4064/sm-113-1-25-42 LA - en ID - 10_4064_sm_113_1_25_42 ER -
Maria E. Pliś. Asymptotic expansion of solutions of Laplace-Beltrami type singular operators. Studia Mathematica, Tome 113 (1995) no. 1, pp. 25-42. doi: 10.4064/sm-113-1-25-42
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