THE SUPPORT THEOREM FOR THE GAUSS–RADON TRANSFORM

DOI10.1142/S0219025712500063zbMath1270.44002OpenAlexW2026669265MaRDI QIDQ2909255

Jeremy J. Becnel

Publication date: 30 August 2012

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025712500063

zbMATH Keywords

Radon transformwhite noise analysissupport theoremGaussian measureinfinite dimensionsHelgason support theoremGauss-Radon transforminfinite-dimensional distribution theory

Mathematics Subject Classification ID

Radon transform (44A12) White noise theory (60H40)

Related Items (6)

A support theorem for a Gaussian Radon transform in infinite dimensions ⋮ The Gaussian limit for high-dimensional spherical means ⋮ The Gaussian Radon transform as a limit of spherical transforms ⋮ The Radon transform in an infinite-dimensional space with Gaussian measure ⋮ AN INVERSION FORMULA FOR THE GAUSSIAN RADON TRANSFORM FOR BANACH SPACES ⋮ A Gaussian Radon transform for Banach spaces

Cites Work

• White noise calculus and Fock space
• Finite dimensional Hida distributions
• Equivalence of topologies and Borel fields for countably-Hilbert spaces

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