Algebraic Theory of Causal Double Products

作者：Hudson R L^*

来源：Mathematica Slovaca, 2010, 60(5): 723-738.

DOI：10.2478/s12175-010-0042-6

• Ito Hopf algebra
• causal double product integral

Corresponding to each "rectangular" double product in the form of a formal power series R[h] with coefficients in the tensor product i'-(a"')aS (TM) i'- (a"') with itself of the It Hopf algebra, we construct "triangular" elements T[h] of i'-(a"') satisfying Delta T[h] = T[h]((1)) R[h]T{h]((2)). In Fock space representations of i'-(a"') by iterated quantum stochastic integrals when a"' is the algebra of It differentials of the calculus, these correspond to "causal" double product integrals in a single Fock space.

• 出版日期2010-10