4 papers
On Boundary Problems for Regular Functions in Hypercomplex Analysis
J. Y. Du, P. Dang
In this article, the authors survey and review the studies of boundary value problems for regular functions in Clifford analysis, which include theoretical foundations and useful m…
Uncertainty principles for free metaplectic transformation and associated metaplectic operators
Ping Liang, Pei Dang, Weixiong Mai
In this paper, we systematically investigate the Heisenberg-Pauli-Weyl uncertainty principle for free metaplectic transformation, as well as metaplectic operators. Specifically, we…
Paley-Wiener Theorems For Slice Regular Functions
Yanshuai Hao, Pei Dang, Weixiong Mai
We prove two theorems of Paley and Wiener in the slice regular setting. As an application, we can compute the reproducing kernel for the slice regular Paley-Wiener space, and obtai…
Paley-Wiener theorems for slice monogenic functions
Yanshuai Hao, Pei Dang, Weixiong Mai
In this paper, we prove some Paley-Wiener theorems for function spaces consisting of slice monogenic functions such as Paley-Wiener, Hardy and Bergman spaces. As applications, we c…