arXiv subjects

Manjie Hu

Publications and source records attributed to Manjie Hu.

2 recordsLinked to original sources

arXiv2026

Integral formulas and Hodge decomposition in the theory of generalized partial-slice mo-nogenic functions

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.

math.CV↗

arXiv2025

Integral formulas and Teodorescu transform for generalized partial-slice monogenic functions

The theory of generalized partial-slice monogenic functions is considered as a syhthesis of the classical Clifford analysis and the theory of slice monogenic functions. In this paper, we investigate the Cauchy integral formula and the Plemelj formula for generalized partial-slice monogenic functions. Further, we study some properties of the Teodorescu transform in this context. A norm estimation for the Teodorescu transform is discussed as well.

math.CV↗