Contragenic Functions on Spheroidal Domains

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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References in corpus (2)

• Contragenic Functions of Three Variables
• Prolate Spheroidal Wave Functions Associated with the Quaternionic Fourier Transform

Cited by in corpus (1)

• Relations among spheroidal and spherical harmonics