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math.PR2014
The Gaussian Radon Transform in Classical Wiener Space
Irina Holmes, Ambar N. Sengupta
We study the Gaussian Radon transform in the classical Wiener space of Brownian motion. We determine explicit formulas for transforms of Brownian functionals specified by stochasti…
math.PR2013
An Inversion Formula for the Gaussian Radon Transform for Banach Spaces
Irina Holmes
We provide a disintegration theorem for the Gaussian Radon transform Gf on Banach spaces and use the Segal-Bargmann transform on abstract Wiener spaces to find a procedure to obtai…