Complex White Noise Analysis
This paper describes a new space, (D-C*), of complex Wiener distributions for the analysis of multi-parameter generalized stochastic processes theta : R-N --> (D-C*). For a certain class of functions F : C-m --> C and complex Wiener integrals Phi (1),...,Phi (m), F(Phi (1),....,Phi (m)) is defined as an element of (D-C*) and its Fock space decomposition determined.
Infinite Dimensional Analysis, Quantum Probability and Related Topics
(2001). Complex White Noise Analysis. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 4(3), 347-375.
Available at: http://aquila.usm.edu/fac_pubs/3797