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.

publication date

  • January 1, 2012 11:11 AM