Wiener空间中Ornstein-Uhlenbeck半群的曲面测度与收敛性
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
摘要：
我们研究无限维高斯空间中有限周长集的密度为1/2的点，并证明了，与有限维理论中一样，曲面测度集中在这类点上。这里密度1/2是根据Ornstein-Uhlembeck半群的逐点行为来制定的。
英文摘要：
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 class of points. Here density 1/2 is formulated in terms of the pointwise behaviour of the Ornstein-Uhlembeck semigroup.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
