The Gaussian Radon Transform for Infinite-Dimensional Banach Spaces

Series
High-Dimensional Phenomena in Statistics and Machine Learning Seminar
Time
Tuesday, September 23, 2014 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 170
Speaker
Irina Holmes – School of Mathematics, Georgia Tech
Organizer
Karim Lounici
In this talk we construct an infinite-dimensional, stochastic version of the Radon transform. We work within the framework of abstract Wiener spaces, introduced by Leonard Gross. We present some basic properties of this transform, as well as compute some specific examples on the classical Wiener space.