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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…