6 papers
Real Symmetric, Unitary, And Complex Symmetric Weighted Composition Operators On Bergman Spaces Of Polydisk
Pham Viet Hai
In this paper, we study weighted composition operators on Bergman spaces of analytic functions which are square integrable on polydisk. We develop the study in full generality, mea…
Polynomial behavior in mean of stochastic skew-evolution semiflows
Pham Viet Hai
In this paper, we are interested in the more general concept of a polynomial (in)stability in mean in which the polynomial behaviour in the classical sense is replaced by a weaker…
Complex symmetric evolution equations
Pham Viet Hai, Mihai Putinar
We study certain dynamical systems which leave invariant an indefinite quadratic form via semigroups or evolution families of complex symmetric Hilbert space operators. In the sett…
Model and Reinforcement Learning for Markov Games with Risk Preferences
Wenjie Huang, Pham Viet Hai, William B. Haskell
We motivate and propose a new model for non-cooperative Markov game which considers the interactions of risk-aware players. This model characterizes the time-consistent dynamic "ri…
Complex symmetry of first-order differential operators on Hardy space
Pham Viet Hai
Given holomorphic functions and , we consider first-order differential operators acting on Hardy space, generated by the formal differential expression $E(ψ_0,ψ_1)f(z)=ψ…
Complex symmetric differential operators on Fock space
Pham Viet Hai, Mihai Putinar
The space of entire functions which are integrable with respect to the Gaussian weight, known also as the Fock space, is one of the preferred functional Hilbert spaces for modellin…