On the Exponential Decay of Oscillatory Integrals on an Abstract Wiener Space

Let (X, H, μ) be a real abstract Wiener space. The saddle point method is carried out onXand an exact formula for deformation of contour integration, that is, a formula transferring a Fourier type integral to a Fourier-Laplace one will be concluded. As an application, an exponentially fast decay of stochastic oscillatory integrals onXis studied.