Yuchen Zhang

collaborators

2 papers

math.CV2026

A Koszul complex in quaternionic analysis and its applications

Yong Li, Yuchen Zhang

Let $n ⩾ 1, I^c ◯ \subset H^{n}$ be a domain. We construct a Koszul-type complex for the ideal sheaf $I_{X}^{(k)}$ of $k$ -regular functions vanishing on $X=\{(q_0…

math.CV2026

A Pair of Multiplication-Type Operators in Quaternionic Analysis and the 2-Cauchy-Fueter Equation

Yong Li, Yuchen Zhang

In this paper, we introduce a pair of multiplication-like operations, $L_{0}$ and $L_{1}$ , which derive $k$ -regular functions from $(k + 1)$ -regular functions. The investigation of the i…