A Gaussian Radon transform for Banach spaces

DOI10.1016/j.jfa.2012.09.005zbMath1270.44003arXiv1208.5743OpenAlexW2054887545MaRDI QIDQ694771

Irina Holmes, Ambar N. Sengupta

Publication date: 13 December 2012

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

Full work available at URL: https://arxiv.org/abs/1208.5743

zbMATH Keywords

uniquenessRadon transformabstract Wiener spaceGaussian measureGaussian Radon transformBrownian functional

Mathematics Subject Classification ID

Radon transform (44A12) Measures and integration on abstract linear spaces (46G12)

Related Items (5)

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 ⋮ Limiting spherical integrals of bounded continuous functions

Cites Work

• The Radon transform
• Gaussian measures in Banach spaces
• A support theorem for a Gaussian Radon transform in infinite dimensions
• THE SUPPORT THEOREM FOR THE GAUSS–RADON TRANSFORM
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