Geodesic
Harmonic wavelets in a multiply connected domain with circular boundaries and their applications to problems of mathematical physics
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 109-124
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Wavelet bases convenient for solving the Schwarz, Dirichlet, and Neumann problems in a domain with circular components of the boundary are constructed. Wavelet series converge uniformly in spaces of Hardy type. The construction of wavelets is based on a special system of harmonic rational functions to which either the Gram–Schmidt orthogonalization with respect to a special scalar product or its modification was applied.
Keywords: Schwarz problem, Dirichlet problem, Neumann problem, harmonic wavelets, basis in spaces of harmonic functions. 
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G. A. Dubosarskii. Harmonic wavelets in a multiply connected domain with circular boundaries and their applications to problems of mathematical physics. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 109-124. http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a10/

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