Generalized Harmonic Function Structures
Classical Analysis and ODEs
2025-03-03 v1
Abstract
We model generalized harmonic functions on rings of differential operators and complex function spaces. The differential operators in the second Weyl-algebra that commute with rotations are described and leads to a natural notion for such functions. We also investigate how such functions are related, and retrieve the cellular decomposition for polyharmonic functions.
Cite
@article{arxiv.2502.20595,
title = {Generalized Harmonic Function Structures},
author = {Markus Klintborg},
journal= {arXiv preprint arXiv:2502.20595},
year = {2025}
}
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37 pages