Algebraic theory of causal double products
نویسنده
چکیده
Corresponding to each ”rectangular” double product [5] in the form of a formal power series R[h] with coefficients in the tensor product T (L) ⊗ T (L) with itself of the Itô Hopf algebra, we construct ”triangular” elements T [h] of T (L) satisfying ∆T [h] = T [h](1)R[h]T{h](2). In Fock space representations of T (L) by iterated quantum stochastic integrals when L is the algebra of Itô differentials of the calculus, these correspond to ”causal” double product integrals in a single Fock space. Dedicated to Sylvia Pulmannová on the occasion of her 70th birthday. MRC classification: 81S25.
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