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20192021
most citedLocal well-posedness for the Zakharov system in dimension

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.FA2021

Toeplitz algebras over Fock and Bergman spaces

Shengkun Wu, Xianfeng Zhao

In this paper, we study Toeplitz algebras generated by certain class of Toeplitz operators on the -Fock space and the -Bergman space with . Let BUC()…

math.AP2021★ 1 cited

Local well-posedness for the Zakharov system in dimension

Zijun Chen, Shengkun Wu

The Zakharov system in dimension is shown to have a local unique solution for any initial values in the energy space , where the range of…

math.FA2021

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…

math.CV2020

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…

math.FA2020

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…

math.FA2020

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…

math.FA2019

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…