Number Operator on Functionals of Discrete-Time Normal Noises

Xiling Zhang, Caishi Wang, Cuiyun Zhang, Fangqing Zhang

Let Z be a discrete-time normal noise that has the chaotic represen­tation property. In this paper, we show that the number operator in the space of square integrable functionals of Z can be extended to a continuous operator on the generalized functional space of  Z.

https://dx.doi.org/10.31873/IJEAS.5.10.11