My current research interest include the Radon Transform, Support Theorem, and Inversion Formulas. Currently, I am exploring the possibility of extending these to infinite dimensional spaces, including the framework of White Noise Analysis.
Title: The Radon Transform in White Noise Analysis.
Project Period: September 2009- August 2011
Description: The project involves constructing a Radon transform in the white noise setting using the Gaussian measure. Using the Gaussian measure, the plan is to formulate a version of the Support Theorem in the infinite dimensional setting. During the second year of the project the goal is to construct one or more inversion formulas for the Gauss-Radon transform.
M.S. Mathematics, Louisiana State University, Baton Rouge, LA
B.S. Mathematics, summa cum laude, Nicholls State University, Thibodaux, LA
B.S. Computer Science, summa cum laude, Nicholls State University, Thibodaux, LA