Geodesic
Multiparameter admissible superadditive processes
Doğan Çömez1
1 Department of Mathematics North Dakota State University Fargo, ND 58105-5075, U.S.A.
Colloquium Mathematicum, Tome 102 (2005) no. 2, pp. 291-305.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In this article some properties of Markovian mean ergodic operators are studied. As an application of the tools developed, and using the admissibility feature, a “reduction of order” technique for multiparameter admissible superadditive processes is obtained. This technique is later utilized to obtain a.e. convergence of averages $n^{-2} \sum _{i,j=0}^{n-1} f_{(i,j)}$ as well as their weighted version.
DOI : 10.4064/cm102-2-9
Keywords: article properties markovian mean ergodic operators studied application tools developed using admissibility feature reduction order technique multiparameter admissible superadditive processes obtained technique later utilized obtain convergence averages sum n their weighted version

Doğan Çömez 1

1 Department of Mathematics North Dakota State University Fargo, ND 58105-5075, U.S.A. 
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Doğan Çömez. Multiparameter admissible superadditive processes. Colloquium Mathematicum, Tome 102 (2005) no. 2, pp. 291-305. doi : 10.4064/cm102-2-9. http://geodesic.mathdoc.fr/articles/10.4064/cm102-2-9/

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