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Zhang, J.H., Wang, C.S. and Tian, L.N. (2015) Localization of Unbounded Operators on Guichardet Spaces. Journal of Applied Mathematics and Physics, 3, 792-796. http://dx.doi.org/10.4236/jamp.2015.37096

has been cited by the following article:

• TITLE: Skorohod Integral at Vacuum State on Guichardet-Fock Spaces

  AUTHORS: Jihong Zhang, Yongjun Li, Xiaochun Sun

  KEYWORDS: Moment Identities, Girsanov Identities, Hermitpolynomial, Skorohod Integral, Guichardet-Fock Spaces

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.7, July 25, 2016

  ABSTRACT: In this paper, we define expectation of f∈F, i.e. E(f)=f(?), according to Wiener-Ito-Segal isomorphic relation between Guichardet-Fock space F and Wienerspace W. Meanwhile, we derive a formula for the expectation of random Hermite polynomial in Skorohod integral on Guichardet- Fock spaces. In particular, we prove that the anticipative Girsanov identities under the condition E(Hx(δ(x),‖x‖2)),n≥1on Guichardet-Fock spaces.