Integral formulas and Hodge decomposition in the theory of generalized partial-slice mo-nogenic functions
Complex Variables
2026-03-20 v1
Abstract
This paper explores generalized slice monogenic functions by introducing their operator symbols, representation formula, and integral formula. The study extends the Teodorescu transform to a broader class of theorems and inferences, providing new analytical tools for function theory in this setting. Additionally, the Hodge decomposition is established, providing a foundation for further research.
Keywords
Cite
@article{arxiv.2603.18529,
title = {Integral formulas and Hodge decomposition in the theory of generalized partial-slice mo-nogenic functions},
author = {Manjie Hu and Chao Ding},
journal= {arXiv preprint arXiv:2603.18529},
year = {2026}
}
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26 pages