A Gaussian Radon Transform for Banach Spaces
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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.
author list (cited authors)
Holmes, I., & Sengupta, A. N.