Doctor of Philosophy (PhD)
Gaussian measure is constructed for any given hyperplane in an infinite dimensional Hilbert space, and this is used to define a generalization of the Radon transform to the infinite dimensional setting, using Gauss measure instead of Lebesgue measure. An inversion formula is obtained and a support theorem proved.
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Mihai, Vochita, "The Radon-Gauss transform" (2004). LSU Doctoral Dissertations. 3171.