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.
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     author = {G. A. Dubosarskii},
     title = {Nonorthogonal harmonic wavelets and their application to the solution of the {Neumann} problem},
     journal = {Trudy Instituta matematiki i mehaniki},
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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/