Guichardet-Fock空间上两种积分的刻画

Characterization of two kinds of integrals in Guichardet-Fock space

Guichardet-Fock空间是由复可分的Hilbert空间η与Γ上的平方可积函数空间的张量积所构成的空间,在Guichardet-Fock空间框架下,研究绝对时间积分与绝对Skorohod积分,并给出这两种积分的等价刻画.

Guichardet-Fock space was the one composed of tensor product of complex divisible Hilbert space η and the space of square integrable function on Γ.In Guichardet-Fock space framework,absolute time integral,and absolute Skorohod integral were studied,and an equivalent characterizations of these two integrals was given,also.