21 citations · 31 across the 14 of their papers we have counts for
15 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 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…
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…
Improved Caffarelli-Kohn-Nirenberg Inequalities and Uncertainty Principle
Pei Dang, Weixiong Mai
In this paper we prove some improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle for complex- and vector-valued functions on , which is a further…
Hilbert Boundary Value Problems for Hyper Monogenic Functions on The Hyperplane
Pei Dang, Jinyuan Du, Tao Qian
This paper systematically studies Hilbert boundary value problems for hyper monogenic functions on the hyperplane for the solutions being of any integer orders at the infinity, whe…
Metric Distributional Discrepancy in Metric Space
Wenliang Pan, Yujue Li, Jianwu Liu +2
Independence analysis is an indispensable step before regression analysis to find out essential factors that influence the objects. With many applications in machine Learning, medi…
On Monogenic Reproducing Kernel Hilbert Spaces of the Paley-Wiener Type
Pei Dang, Weixiong Mai, Tao Qian
In the Clifford algebra setting the present study develops three reproducing kernel Hilbert spaces of the Paley-Wiener type, namely the Paley-Wiener spaces, the Hardy spaces on str…
Rational Approximation in the Bergman Spaces
Wei Qu, Pei Dang
It is known that adaptive Fourier decomposition (AFD) offers efficient rational approxima- tions to functions in the classical Hardy H2 spaces with significant applications. This s…
polyharmonic Robin problems on Lipschitz domains
Weifeng Li, Pei Dang, Zhihua Du +2
In this paper, we study a class of boundary value problems (BVPs) with Robin conditions in some spaces for polyharmonic equation on Lipschitz domains. Utilizing polyharmonic…
Hilbert Transformation and Group
Pei Dang, Hua Liu, Tao Qian
In this paper we study symmetry properties of the Hilbert transformation of several real variables in the Clifford algebra setting. In order to describe the symmetry properties we…
Hilbert Transformation and Representation of ax+b Group
Pei Dang, Hua Liu, Tao Qian
In this paper we study the Hilbert transformations over and from the viewpoint of symmetry. For a linear operator over commuta…
Fourier Spectrum Characterizations of Clifford Spaces on for
Pei Dang, Weixiong Mai, Tao Qian
This article studies the Fourier spectrum characterization of functions in the Clifford algebra-valued Hardy spaces Namely, for $f\in…
Hardy-Hodge Decomposition of Vector Fields in
Laurent Baratchart, Pei Dang, Tao Qian
We prove that a -valued vector field on IR n is the sum of the traces of two harmonic gradients, one in each component of , and of a -valued divergenc…
Clifford Coherent State Transforms on Spheres
Pei Dang, José Mourão, João P. Nunes +1
We introduce a one-parameter family of transforms, , , from the Hilbert space of Clifford algebra valued square integrable functions on the --dimensional sphere,…