A Gaussian Radon transform for Banach spaces

作者：Holmes Irina; Sengupta Ambar N^*

来源：Journal of Functional Analysis, 2012, 263(11): 3689-3706.

DOI：10.1016/j.jfa.2012.09.005

• Radon transform
• Gaussian measure
• Abstract Wiener space

We develop a Radon transform on Banach spaces using Gaussian measure and prove that if a bounded continuous function on a separable Banach space has zero Gaussian integral over all hyperplanes outside a closed bounded convex set in the Hilbert space corresponding to the Gaussian measure then the function is zero outside this set.

• 出版日期2012-12-1