THE SUPPORT THEOREM FOR THE GAUSS–RADON TRANSFORM
Jeremy J. Becnel · Infinite Dimensional Analysis Quantum Probability and Related Topics · 2012
The Radon transform is one of the most useful and applicable tools in functional analysis. First constructed by John Radon in 191711 it has now been adapted to several settings. One of the principle theorems involving the Radon transform is the Support Theorem. In this paper, we discuss how the Radon transform can be constructed in the white noise setting. We also develop a Support Theorem in this setting.