Maximal domains of radial harmonic functions
Peter Gilkey, JeongHyeong Park
TL;DR
This paper investigates the largest possible domains where radial harmonic functions can exist on harmonic spaces across different curvature types, providing insights into their maximal extent.
Contribution
It introduces a comprehensive analysis of the maximal domains of radial harmonic functions on harmonic spaces with various curvatures, extending previous understanding.
Findings
Characterization of maximal domains in positive curvature
Extension of maximal domain results to zero curvature
Analysis of maximal domains in negative curvature
Abstract
We examine the maximal domain of radial harmonic functions on harmonic spaces in the context of positive, zero, and negative curvature.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Advanced Harmonic Analysis Research · Numerical methods in inverse problems