Journal of Applied Mathematics and Physics

Volume 4, Issue 7 (July 2016)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.70  Citations  

Skorohod Integral at Vacuum State on Guichardet-Fock Spaces

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DOI: 10.4236/jamp.2016.47141    1,335 Downloads   2,036 Views  

ABSTRACT

In this paper, we define expectation of fF, 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),x2)),n1 on Guichardet-Fock spaces.

Share and Cite:

Zhang, J. , Li, Y. and Sun, X. (2016) Skorohod Integral at Vacuum State on Guichardet-Fock Spaces. Journal of Applied Mathematics and Physics, 4, 1321-1326. doi: 10.4236/jamp.2016.47141.

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