Contragenic Functions on Spheroidal Domains
classification
🧮 math.CA
math.CV
keywords
functionsantimonogenicbasesconstructcontragenicdefineddomainsharmonic
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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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