5 papers
Toeplitz operators on the Fock space via the Fourier transform
Shengkun Wu, Dechao Zheng
In sprite by Berger-Coburn theorems and their conjecture in \cite{Coburn1994}, we use the Fourier transform to decompose as an infinite sum of Toeplitz operators with symb…
Random Interpolating Sequences in the Polydisc and the Unit Ball
Alberto Dayan, Brett D. Wick, Shengkun Wu
We study almost sure separating and interpolating properties of random sequences in the polydisc and the unit ball. In the unit ball, we obtain the 0-1 Komolgorov law for a sequenc…
Fock space on and Bose-Fock space
Brett D. Wick, Shengkun Wu
In this paper, we introduce the Fock space over and obtain an isomorphism between the Fock space over and Bose-Fock space. Based on this…
Integral Operators on Fock-Sobolev Spaces via Multipliers on Gauss-Sobolev Spaces
Brett D. Wick, Shengkun Wu
In this paper, we obtain an isometry between the Fock-Sobolev space and the Gauss-Sobolev space. As an application, we use multipliers on the Gauss-Sobolev space to characterize th…
Toeplitz algebra on the Fock space
Shengkun Wu, Dechao Zheng
The Fock space consists of all entire functions which are square integrable with respect to Gauss measure. The Toeplitz algebra is the C*-algebra generated by the Toeplitz operator…