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arXiv · 1708.06603

Contragenic Functions on Spheroidal Domains

R. García Ancona·J. Morais·R. Michael Porter
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Abstract

We construct bases of polynomials for the spaces of square-integrable harmonic functions which are orthogonal to the monogenic and antimonogenic $\mathbb{R}^3$-valued functions defined in a prolate or oblate spheroid.

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R. García Ancona, J. Morais, R. Michael Porter. 2017-08-08. Contragenic Functions on Spheroidal Domains. https://doi.org/10.1002/mma.4759

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