Analytic Functions on Abstract Wiener Spaces

Let (X, H, μ) be a real abstract Wiener space. A new definition of analytic functions on X is introduced, and it is shown that stochastic line integrals of real analytic 1-forms along Brownian motion and solutions to stochastic differential equations with real analytic coefficients are analytic Wiener functionals. An L^p-theoretical sufficient condition for Wiener functionals to be analytic and an associated Cauchy formula are also established.