On summability of pairs of convolution sequences of probability measures on locally compact semigroups
type: Item
instance of: scholarly article
title: On summability of pairs of convolution sequences of probability measures on locally compact semigroups
zbMATH Open document ID: 0937.43001
DOI: 10.1007/BF02851394
author: Cvetan Jardas
author: Nikola Sarapa
author: J. Pečarić
publication date: 1999-03-09T00:00:00Z
review text: The paper is concerned with the summability of convolution powers \(\mu^i*\nu^j\) of probabilities on a locally compact topological semigroup. Continuing previous investigations, the authors consider sequences \((A_n)_{n\geq 1}\) of non-negative matrices. A pair \((\mu,s)\) of probabilities is (weakly resp. vaguely) \((A_n)\)-summable to a measure \(\lambda\) if \(\sum_{i,j\geq 1} a_{ij}^{(n)} \mu_i*\nu^j\) converges (weakly resp. vaguely) to \(\lambda\). The authors obtain conditions for weak (resp. vague) summability.
reviewed by: Wilfried Hazod
Mathematics Subject Classification ID: 43A05
Mathematics Subject Classification ID: 60B10
Mathematics Subject Classification ID: 43A55
Mathematics Subject Classification ID: 60B05
zbMATH DE Number: 1239701
zbMATH Keywords: weak summability
zbMATH Keywords: locally compact topological semigroup
MaRDI profile type: Publication
cites work: Q5344719
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full work available at URL: https://doi.org/10.1007/bf02851394
OpenAlex ID: W1981315016
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 1239701