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2013 Mean-Square continuity on homogeneous spaces of compact groups
Domenico Marinucci, Giovanni Peccati
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Electron. Commun. Probab. 18: 1-10 (2013). DOI: 10.1214/ECP.v18-2400

Abstract

We show that any finite-variance, isotropic random field on a compact group is necessarily mean-square continuous, under standard measurability assumptions. The result extends to isotropic random fields defined on homogeneous spaces where the group acts continuously.

Citation

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Domenico Marinucci. Giovanni Peccati. "Mean-Square continuity on homogeneous spaces of compact groups." Electron. Commun. Probab. 18 1 - 10, 2013. https://doi.org/10.1214/ECP.v18-2400

Information

Accepted: 23 May 2013; Published: 2013
First available in Project Euclid: 7 June 2016

zbMATH: 1329.60139
MathSciNet: MR3064996
Digital Object Identifier: 10.1214/ECP.v18-2400

Subjects:
Primary: 60G05
Secondary: 60G60

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