The Radon transform in an infinite-dimensional space with Gaussian measure

DOI10.1134/S1064562413060136zbMath1297.44006MaRDI QIDQ403879

M. N. Lukintsova

Publication date: 29 August 2014

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

zbMATH Keywords

Radon transformlocally convex spaceRadon measureGaussian measure

Mathematics Subject Classification ID

Radon transform (44A12)

Related Items (2)

The Gaussian limit for high-dimensional spherical means ⋮ The Gaussian Radon transform as a limit of spherical transforms

Cites Work

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• A Gaussian Radon transform for Banach spaces
• The Radon transform
• Differentiable measures and the Malliavin calculus
• The Radon transform in infinite-dimensional spaces
• Regularity of invariant measures on finite and infinite dimensional spaces and applications
• Existence and uniqueness of invariant measures: An approach via sectorial forms
• A support theorem for a Gaussian Radon transform in infinite dimensions
• THE SUPPORT THEOREM FOR THE GAUSS–RADON TRANSFORM
• Elliptic and parabolic equations for measures
• Elliptic equations for measures on infinite dimensional spaces and applications

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