3 papers
math.FA2022
Canonical integral operators on the Fock space
Xingtang Dong, Kehe Zhu
In this paper we introduce and study a two-parameter family of integral operators on the Fock space . We determine exactly when these operators are bounded and when they ar…
math.FA2020
Essential Spectra of Weighted Composition Operators Induces by Elliptic Automorphisms
Xing-Tang Dong, Yong-Xin Gao, Ze-Hua Zhou
The spectrum of a weighted composition operator who is induced by an automorphism has been investigated for over fifty years. However, many results are got only under th…
math.CV2016
The Fourier and Hilbert transforms under the Bargmann transform
Xing-Tang Dong, Kehe Zhu
There is a canonical unitary transformation from onto the Fock space , called the Bargmann transform. We study the action of the Bargmann transform on several classi…