Generalized parabolic functions on white noise space

[摘要] We study the positive solutions of a heat equation on an infinite-dimensional state space using Hida's white noise analysis. We establish an integral representation theorem for generalized parabolic functions via so-called generalized Cameron-Martin densities, and we apply the representation formula in the study of the positive generalized parabolic functions on the white noise space.

[发布日期] 1997-04-28

[关键词] heat equation;hida functional;parabolic function;positive functional;white noise space