We introduce an operator which enable us to give a simple construction of the isomorphism from the so-called Fock space to the L2-space with respect to a Poisson measure without combinatorial arguments in Schmidt's orthogonalization procedure.
"Construction of Poissonian Fock space: a simple proof." Proc. Japan Acad. Ser. A Math. Sci. 86 (3) 60 - 63, March 2010. https://doi.org/10.3792/pjaa.86.60