Generalized Harmonic Function Structures
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912251658633216 |
|---|---|
| author | Klintborg, Markus |
| author_facet | Klintborg, Markus |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20595 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Harmonic Function Structures Klintborg, Markus Classical Analysis and ODEs Primary: 31A05, Secondary: 33C05, 31A30, 16S32 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. |
| title | Generalized Harmonic Function Structures |
| topic | Classical Analysis and ODEs Primary: 31A05, Secondary: 33C05, 31A30, 16S32 |
| url | https://arxiv.org/abs/2502.20595 |