A Gaussian Radon Transform for Banach Spaces
Probability
2012-10-02 v2 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.1208.5743,
title = {A Gaussian Radon Transform for Banach Spaces},
author = {Irina Holmes and Ambar N. Sengupta},
journal= {arXiv preprint arXiv:1208.5743},
year = {2012}
}