The Gaussian Radon transform as a limit of spherical transforms

DOI10.1016/j.jfa.2016.07.002zbMath1351.44002OpenAlexW2494144828MaRDI QIDQ329687

Ambar N. Sengupta

Publication date: 21 October 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.07.002

zbMATH Keywords

abstract Wiener spaceGaussian measureGaussian Radon transformlimit of spherical transforms

Mathematics Subject Classification ID

Radon transform (44A12) White noise theory (60H40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (4)

The Gaussian limit for high-dimensional spherical means ⋮ Limiting probability measures ⋮ Polynomials and high-dimensional spheres ⋮ Limiting spherical integrals of bounded continuous functions

Cites Work

• The Radon transform in an infinite-dimensional space with Gaussian measure
• Surface measures in infinite dimension
• A Gaussian Radon transform for Banach spaces
• Hausdorff measures on the Wiener space.
• The Radon transform
• Gaussian measures in Banach spaces
• The Radon transform in infinite-dimensional spaces
• Geometry of differential space
• Hilbert--Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry
• A support theorem for a Gaussian Radon transform in infinite dimensions
• THE SUPPORT THEOREM FOR THE GAUSS–RADON TRANSFORM
• AN INVERSION FORMULA FOR THE GAUSSIAN RADON TRANSFORM FOR BANACH SPACES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Gaussian Radon transform as a limit of spherical transforms