The Gaussian Radon Transform in Classical Wiener Space
  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 stochastic integrals. A Fock space decomposition is also established for Gaussian measure conditioned to closed affine subspaces in Hilbert spaces. 
Irina Holmes and Ambar N. Sengupta
math.PR math.FA