10 citations · 12 across the 13 of their papers we have counts for
14 papers
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…
Liouville Theorem on Ricci shrinkers with constant scalar curvature and its application
Weixiong Mai, Jianyu Ou
In this paper we consider harmonic functions on gradient shrinking Ricci solitons with constant scalar curvature. A Liouville theorem is proved without using gradient estimate : an…
On equidistribution theorem for multi-sequences of holomorphic line bundles
Manli Liu, Weixiong Mai, Guokuan Shao
Given several sequences of Hermitian holomorphic line bundles , we establish the distribution of common zeros of random holomorphic sections of…
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…
Three Balls Theorem for Eigenfunctions of Dirac Operator in Clifford Analysis
Weixiong Mai, Jianyu Ou
In this paper we establish the three balls theorem for functions satisfying in Clifford analysis, where is the Dirac operator. As an application, we generalize Hada…
On the Bergman kernel in weighted monogenic Bargmann-Fock spaces
Weixiong Mai, Guokuan Shao
In this paper, we study the Bergman kernel of generalized Bargmann-Fock spaces in the setting of Clifford algebra. The versions of -estimate method and weighted sub…
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…
Uncertainty Principle and its rigidity on complete gradient shrinking Ricci solitons
Weixiong Mai, Jianyu Ou
We prove rigidity theorems for shrinking gradient Ricci solitons supporting the Heisenberg-Pauli-Weyl uncertainty principle with the sharp constant in . In addtion, w…
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…
Aveiro Method in Reproducing Kernel Hilbert Spaces Under Complete Dictionary
Weixiong Mai, Tao Qian
Aveiro Method is a sparse representation method in reproducing kernel Hilbert spaces (RKHS) that gives orthogonal projections in linear combinations of reproducing kernels over uni…
The Fourier Type Expansions on Tubes
Weixiong Mai, Tao Qian
In view of recent developments of the study of reproducing kernel Hilbert spaces, in particular with the context the Hardy spaces on tubes, aspects of rational approximation for fu…