Title page for ETD etd-07052004-112200


Type of Document Dissertation
Author Mihai, Vochita
Author's Email Address mihai@math.lsu.edu
URN etd-07052004-112200
Title The Radon-Gauss Transform
Degree Doctor of Philosophy (Ph.D.)
Department Mathematics
Advisory Committee
Advisor Name Title
Ambar Sengupta Committee Chair
Frank Neubrander Committee Member
Jimmie Lawson Committee Member
Padmanabhan Sundar Committee Member
William Adkins Committee Member
Hsiao-Chun Wu Dean's Representative
Keywords
  • Gauss
  • transform
Date of Defense 2004-05-19
Availability unrestricted
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.

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