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Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
Surface measures convergence of the Ornstein-Uhlenbeck semigroup Wiener spaces
2010/11/26
We study points of density 1/2 of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this clas...
Multivariate polynomial interpolation and sampling in Paley-Wiener spaces
Multivariate polynomial interpolation sampling Paley-Wiener spaces
2010/12/3
In this paper, an equivalence between existence of particular exponential Riesz bases
for multivariate bandlimited functions and existence of certain polynomial interpolants for these bandlimited fun...
Convergence of Symmetric Diffusions on Wiener Spaces
Dirichlet forms Ornstein-Ulenbeck processes capacity Girsanov transform total variation
2007/12/11
In this paper, we study the distorted Ornstein-Uhlenbeckprocesses associated with given densities on an abstract Wienerspace. We prove that the laws of distorted Ornstein-Uhlenbeckprocesses converge i...