Multivariate general regular variation: Popa groups on vector spaces

Abstract

We extend to multi-dimensional (or infinite-dimensional) settings the general regular variation of `General regular variation, Popa groups and quantifier weakening', J. Math. Anal. Appl., to appear (arXiv1901.05996). The theory focuses on extension of the treatment there of Popa groups. The applications focus on multivariate extreme-value theory