Limiting Means for Spherical Slices
Probability
2019-03-20 v1 Functional Analysis
Abstract
We show that for a suitable class of functions of finitely-many variables, the limit of integrals along slices of a high dimensional sphere is a Gaussian integral on a corresponding finite-codimension affine subspace in infinite dimensions.
Cite
@article{arxiv.1903.07693,
title = {Limiting Means for Spherical Slices},
author = {Amy Peterson and Ambar N. Sengupta},
journal= {arXiv preprint arXiv:1903.07693},
year = {2019}
}