Banach Space-Valued Functionals of White Noise

Let X be a complex Banach space (not necessary to be reflexive). In this chapter, we prove a moment characterization theorem and a convergent theorem for X-valued generalized functionals of white noise, which refine the corresponding results recently obtained by Wang and Huang (Acta Math. Sin. Engl. Ser. 22 (2006), 157-168).