A-ergodicity of probability measures on locally compact groups

DOI10.1007/s00013-023-01938-yOpenAlexW4389133458MaRDI QIDQ6189010

Heybetkulu S. Mustafayev

Publication date: 12 January 2024

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-023-01938-y

zbMATH Keywords

convergencelocally compact groupprobability measureregular matrix

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Harmonic analysis on general compact groups (43A77) Measure algebras on groups, semigroups, etc. (43A10)

Cites Work

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• Mean ergodic theorems for multipliers on Banach algebras
• Every composition operator is (mean) asymptotically Toeplitz
• Convergence of iterates of averages of certain operator representations and of convolution powers
• Ergodic theorems. With a supplement by Antoine Brunel
• Introduction to the theory of Banach representations of groups. Transl. from the Russian by A. Jacob
• A note on the Kawada-Itô theorem
• Fixed points and limits of convolution powers of contractive quantum measures
• Ergodic properties of convolution operators

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