Number Operator on Functionals of Discrete-Time Normal Noises
Xiling Zhang, Caishi Wang, Cuiyun Zhang, Fangqing Zhang · International Journal of Engineering and Applied Sciences (IJEAS) · 2018
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 .