A Gaussian Radon Transform for Banach Spaces Academic Article uri icon

abstract

  • We develop a Radon transform on Banach spaces using Gaussian measure and prove that if a bounded continuous function on a separable Banach space has zero Gaussian integral over all hyperplanes outside a closed bounded convex set in the Hilbert space corresponding to the Gaussian measure then the function is zero outside this set.

author list (cited authors)

  • Holmes, I., & Sengupta, A. N

complete list of authors

  • Holmes, Irina||Sengupta, Ambar N

publication date

  • August 2012