Dirichlet integral dual-access collocation-kernel space analytic interpolation for unit disks: DIDACKS I

Abstract

This article presents a technique for analytic interpolation over the exterior of a unit disk using complex poles in the interior--as well as corresponding techniques for the exterior of a real unit disk and for the interior of a real and complex unit disk. This is accomplished by developing special kernel spaces labeled dual-access collocation-kernel spaces. Higher order pole and logarithmic point source kernels are also considered. Relationships to Szego and Bergman kernel theory are addressed.

44 pages, no figures

Cited by in corpus (4)

• Dirichlet integral point-source harmonic interpolation over ${\mathbb{R}}^3$ spherical interiors: DIDACKS II
• Closed-form Dirichlet integral harmonic interpolation-fits for real n-dimensional and complex half-space: DIDACKS III
• A closed-form energy-minimization basis for gravity field source estimation: DIDACKS IV
• Uniqueness Theorems for Point Source Expansions: DIDACKS V