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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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≥1 on Guichardet-Fock spaces.
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