10 citations · 12 across the 13 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
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…