Limiting Means for Spherical Slices

Q2 Mathematics

Communications on Stochastic Analysis Pub Date : 2019-01-01 DOI:10.31390/cosa.12.3.04

Amy Peterson, A. Sengupta

引用次数: 0

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.

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球面片的极限方法

我们证明了对于一类合适的有限多变量函数，沿高维球面切片的积分极限是无穷维中相应的有限余维仿射子空间上的高斯积分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications on Stochastic Analysis Mathematics-Statistics and Probability

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： The journal Communications on Stochastic Analysis (COSA) is published in four issues annually (March, June, September, December). It aims to present original research papers of high quality in stochastic analysis (both theory and applications) and emphasizes the global development of the scientific community. The journal welcomes articles of interdisciplinary nature. Expository articles of current interest will occasionally be published. COSAis indexed in Mathematical Reviews (MathSciNet), Zentralblatt für Mathematik, and SCOPUS