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Physical Sciences and Mathematics Commons

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Stephen F. Austin State University

2009

White Noise Analysis

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Full-Text Articles in Physical Sciences and Mathematics

Extending The Support Theorem To Infinite Dimensions, Jeremy J. Becnel May 2009

Extending The Support Theorem To Infinite Dimensions, Jeremy J. Becnel

Faculty Publications

The Radon transform is one of the most useful and applicable tools in functional analysis. First constructed by John Radon in 1917 [9] 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.