Kai Wang

activity

20112023

most citedA harmonic analysis approach to essential normality of principal submodules

39 citations · 46 across the 9 of their papers we have counts for

collaborators

10 papers

math.FA2023

Joint Projective Spectrum of $D_{\infty n}$

Chen Li, Kai Wang

We compute the joint spectrum of $D_{\infty n}$ with respect to the left regular representation, and finds two generators of the De Rham cohomology group of joint resolvent set whi…

math.PR2022

Truncations of random unitary matrices drawn from Hua-Pickrell distribution

Zhaofeng Lin, Yanqi Qiu, Kai Wang

Let $U$ be a random unitary matrix drawn from the Hua-Pickrell distribution $μ_{U (n + m)}^{(δ)}$ on the unitary group $U (n + m)$ . We show that the eigenvalues of the…

math.PR2021

Gaussian limit for determinantal point processes with $J$ -Hermitian kernels

Zhaofeng Lin, Yanqi Qiu, Kai Wang

We show that the central limit theorem for linear statistics over determinantal point processes with $J$ -Hermitian kernels holds under fairly general conditions. In particular, We…

math.FA2020★ 2 cited

The Lp-Lq problems of Bergman-type operators

Lijia Ding, Kai Wang

Let $B^{d}$ be the unit ball on the complex space $C^{d}$ with normalized Lebesgue measure $d v .$ For $α \in R,$ denote $k_α(z,w)=\frac{1}{(1-\langle z,w\rangle…

math.PR2020★ 1 cited

Rigidity of determinantal point processes on the unit disc with sub-Bergman kernels

Yanqi Qiu, Kai Wang

We give natural constructions of number rigid determinantal point processes on the unit disc $D$ with sub-Bergman kernels of the form \[ K_Λ(z, w) = \sum_{n\in Λ}(n+1) z^n…

math.CV2016★ 4 cited

Holomorphic isometries from the unit ball into symmetric domains

Harald Upmeier, Kai Wang, Genkai Zhang

We construct isometric holomorphic embeddings of the unit ball into higher rank symmetric domains, first discovered by Mok, in an explicit way using Jordan triple systems, and prov…

math.FA2015

Dixmier Trace for Toeplitz Operators on Symmetric Domains

Harald Upmeier, Kai Wang

For Toeplitz operators on bounded symmetric domains of arbitrary rank, we define a Hilbert quotient module corresponding to partitions of length $1$ and prove that it belongs to th…

math.FA2012

Some Remarks On Essentially Normal Submodules

Ronald G. Douglas, Kai Wang

Given a *-homomorphism $σ : C (M) \to L (H)$ on a Hilbert space $H$ for a compact metric space $M$ , a projection $P$ onto a subspace $P$ in $\ma…

math.FA2011

Reducing subspaces for analytic multipliers of the Bergman space

Ronald G. Douglas, Mihai Putinar, Kai Wang

We answer affirmatively the problem left open in \cite{DSZ,GSZZ} and prove that for a finite Blaschke product $ϕ$ , the minimal reducing subspaces of the Bergman space multiplier $M…

math.FA2011★ 39 cited

A harmonic analysis approach to essential normality of principal submodules