The Quantum Analysis On Guichardet-Fock Space

Guichardet-Fock space is the Hilbert space tensor productη(?) L~2(Γ),whichΓ:= {σ(?)(?)_+:#σ＜∞}.In the present thesis,we mainly discuss It(?) analysis properties of Guichardet-Fock space,operator adaptedness and conditional expectation.This dissertation consists three chapters.In chapter 1,introduce related notion of Guichardet-Fock space,and discuss relations and properties of skorohod integral,time integral, absolutely skorohod integral,absolutely time integral,and It(?) integral.In chapter 2,we discuss property of s-adapted operator and relations of differential adaptedness,integrai adaptedness,commuting adaptedness and projective adaptedness.In chapter 3,we discuss properties of conditional expectation on Guichardet-Fock space.