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arXiv · 1208.5743

A Gaussian Radon Transform for Banach Spaces

Irina Holmes·Ambar N. Sengupta
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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.

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Irina Holmes, Ambar N. Sengupta. 2012-09-29. A Gaussian Radon Transform for Banach Spaces. https://arxiv.org/abs/1208.5743

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