The Radon-Gauss transform

Identifier

etd-07052004-112200

Author

Vochita Mihai, Louisiana State University and Agricultural and Mechanical CollegeFollow

Degree

Doctor of Philosophy (PhD)

Department

Mathematics

Document Type

Dissertation

Abstract

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.

Date

2004

Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

Recommended Citation

Mihai, Vochita, "The Radon-Gauss transform" (2004). LSU Doctoral Dissertations. 3171.
https://repository.lsu.edu/gradschool_dissertations/3171

Committee Chair

Ambar Sengupta

DOI

10.31390/gradschool_dissertations.3171