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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2015 Volume 21, Number 4, Pages 136–151 (Mi timm1237)
This article is cited in 1 paper

Nonorthogonal harmonic wavelets and their application to the solution of the Neumann problem

G. A. Dubosarskii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: 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.

UDC: 517.538.2

Received: 10.10.2014


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, 296, suppl. 1, 128–144

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