Ergodic sequences of probability measures on commutative hypergroups

Liliana Pavel

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-9

Abstract:

We study conditions on a sequence of probability measures { μ n } n on a commutative hypergroup K , which ensure that, for any representation π of K on a Hilbert space ℋ π and for any ξ ∈ ℋ π , ( ∫ K π x ( ξ ) d μ n ( x ) ) n converges to a π -invariant member of ℋ π .

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:362830

DOI: 10.1155/S0161171204305041

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