The Gaussian limit for high-dimensional spherical means

DOI10.1016/j.jfa.2018.06.020zbMath1408.44001arXiv1903.07555OpenAlexW2811311778MaRDI QIDQ1634599

Amy Peterson, Ambar N. Sengupta

Publication date: 18 December 2018

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

Full work available at URL: https://arxiv.org/abs/1903.07555

zbMATH Keywords

spheresGaussian measureGaussian Radon transformlarge-$N$ limit

Mathematics Subject Classification ID

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

Related Items (3)

Limiting probability measures ⋮ Polynomials and high-dimensional spheres ⋮ Limiting spherical integrals of bounded continuous functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Gaussian Radon transform as a limit of spherical transforms
• The Radon transform in an infinite-dimensional space with Gaussian measure
• Surface measures in infinite dimension
• Measures on Banach manifolds, random surfaces, and nonperturbative string field theory with cut-offs
• A Gaussian Radon transform for Banach spaces
• Hausdorff measures on the Wiener space.
• Gaussian measures in Banach spaces
• The Radon transform.
• Surface integrals in Hilbert spaces for general measures and applications
• The Radon transform in infinite-dimensional spaces
• Measures on Banach manifolds and supersymmetric quantum field theory
• Geometry of differential space
• A support theorem for a Gaussian Radon transform in infinite dimensions
• THE SUPPORT THEOREM FOR THE GAUSS–RADON TRANSFORM
• Radon transforms on affine Grassmannians
• Diffusion and Brownian Motion on Infinite-Dimensional Manifolds

This page was built for publication: The Gaussian limit for high-dimensional spherical means