Harmonic Mappings of the Hexagasket to the Circle

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Abstract

Harmonic mappings from the hexagasket to the circle are described in terms of boundary values and topological data. Explicit formulas are also given for the energy of the mapping. We have generalized the results in [10].

Keywords:

hexagasket harmonic mapping self-similar Dirichlet form.
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10.1007/s10496-011-0377-z

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Harmonic Mappings of the Hexagasket to the Circle. (2011). Analysis in Theory and Applications, 27(4), 377-386. https://doi.org/10.1007/s10496-011-0377-z