Nonorthogonal harmonic wavelets and their application to the solution of the Neumann problem
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 136-151
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We construct harmonic wavelets and give a bound for the convergence rate of their partial sums in the spaces of harmonic functions introduced in the paper. These wavelets can be used for the solution of the Neumann problem.
Keywords:
Neumann problem, harmonic wavelets, basis of spaces of harmonic functions.
@article{TIMM_2015_21_4_a13,
author = {G. A. Dubosarskii},
title = {Nonorthogonal harmonic wavelets and their application to the solution of the {Neumann} problem},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {136--151},
publisher = {mathdoc},
volume = {21},
number = {4},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a13/}
}
TY - JOUR AU - G. A. Dubosarskii TI - Nonorthogonal harmonic wavelets and their application to the solution of the Neumann problem JO - Trudy Instituta matematiki i mehaniki PY - 2015 SP - 136 EP - 151 VL - 21 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a13/ LA - ru ID - TIMM_2015_21_4_a13 ER -
%0 Journal Article %A G. A. Dubosarskii %T Nonorthogonal harmonic wavelets and their application to the solution of the Neumann problem %J Trudy Instituta matematiki i mehaniki %D 2015 %P 136-151 %V 21 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a13/ %G ru %F TIMM_2015_21_4_a13
G. A. Dubosarskii. Nonorthogonal harmonic wavelets and their application to the solution of the Neumann problem. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 136-151. http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a13/