We adopt the Airault-Malliavin method to construct surfacemeasures within the framework of white noise analysis for surfaces in thedual space of the Schwartz space. The main ingredient of our construction isthe integral representation theorem of positive generalized functions. We alsogive some examples to illustrate the precise description of surface measuresin terms of the Laplace transform.
|Journal||Communications on Stochastic Analysis|
|Publication status||Published - 1 Jan 2010|