From algebraic to analytic double product integrals
Robin Hudson
2134/2734
https://repository.lboro.ac.uk/articles/preprint/From_algebraic_to_analytic_double_product_integrals/9376109
The algebraic theory of double product integrals and particularly
its role in the quantisation of Lie bialgebras is described. When the
underlying associative algebra is that of the Itˆo differentials of quantum stochastic
calculus such product integrals are formally represented as operators which
are infinite sums of iterated integrals in Fock space. In this paper we describe
some of the analytic problems encountered in making such sums rigourously
meaningful, as well as the expected properties of such analytic double product
integrals.
2007-03-22 17:44:29
Double product integral
Quantum stochastic inegral
Terated integral
Quantum Yang-Baxter equation
Mathematical Sciences not elsewhere classified