32 citations · 38 across the 13 of their papers we have counts for
13 papers
Arveson's Gauss-Bonnet-Chern Formula for Hilbert Modules in the Multiplier-Algebra Framework
Penghui Wang, Ruoyu Zhang, Zeyou Zhu
The present paper continues Arveson's program on curvature, Euler characteristic, and Gauss-Bonnet-Chern type formulae for Hilbert modules. For regular unitarily invariant complete…
Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties
Kunyu Guo, Penghui Wang, Chong Zhao
We introduce a Grassmannian structure for a class of quotient Hilbert modules and attack the polydisc version of Arveson-Douglas conjecture associated to distinguished varieties. M…
Numerics for Stochastic Distributed Parameter Control Systems: a Finite Transposition Method
Qi Lü, Penghui Wang, Yanqing Wang +1
In this chapter, we present some recent progresses on the numerics for stochastic distributed parameter control systems, based on the \emph{finite transposition method} introduced…
A note on "Problem of eigenvalues of stochastic Hamiltonian systems with boundary conditions"
Guangdong Jing, Penghui Wang
The eigenvalue problem of stochastic Hamiltonian systems with boundary conditions was studied by Peng \cite{peng} in 2000. For one-dimensional case, denoting by $\{λ_n\}_{n=1}^{\in…
Eigenvalues of stochastic Hamiltonian systems with boundary conditions and its application
Guangdong Jing, Penghui Wang
In this paper we solve the eigenvalue problem of stochastic Hamiltonian system with boundary conditions. Firstly, we extend the results in S. Peng \cite{peng} from time-invariant c…
Hill-type formula for Hamiltonian system with Lagrangian boundary conditions
Xijun Hu, Yuwei Ou, Penghui Wang
In this paper, we build up Hill-type formula for linear Hamiltonian systems with Lagrangian boundary conditions, which include standard Neumann, Dirichlet boundary conditions. Such…