Kernel and Integral Representations of Operators on Infinite Dimensional Toy Fock Spaces

International audienceWe study conditions for the existence of a Maassen kernel representation for operators on infinite dimensional toy Fock spaces. When applied to the toy Fock space of discrete quantum stochastic calculus, this condition gives a criterion for the existence of a representation as a quantum stochastic integral, as well as explicit formulas for deriving the coefficients of this representation