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arXiv · 2502.20595

Generalized Harmonic Function Structures

Markus Klintborg
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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.

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Markus Klintborg. 2025-02-27. Generalized Harmonic Function Structures. https://arxiv.org/abs/2502.20595

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