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.

4 Tables

References in corpus (1)

• Prolate Spheroidal Wave Functions Associated with the Quaternionic Fourier Transform

Cited by in corpus (1)

• Relations among spheroidal and spherical harmonics