The Radon transform in infinite-dimensional spaces

DOI10.1134/S1064562412020159zbMath1261.44001OpenAlexW2055145330MaRDI QIDQ1760980

M. N. Lukintsova, Vladimir I. Bogachev

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412020159

zbMATH Keywords

Radon transformlocally convex spacesRadon measuresinfinite dimensional spaces

Mathematics Subject Classification ID

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

Related Items (3)

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

Cites Work

• The Radon transform
• Differentiable measures and the Malliavin calculus
• A support theorem for a Gaussian Radon transform in infinite dimensions
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