×

Mean-square continuity on homogeneous spaces of compact groups. (English) Zbl 1329.60139

Summary: 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.

MSC:

60G60 Random fields
PDF BibTeX XML Cite
Full Text: DOI arXiv