Almost everywhere convergence of convolution powers on compact Abelian groups

DOI10.1214/11-AIHP468zbMath1281.37005OpenAlexW2011502611MaRDI QIDQ1951510

Michael Lin, Jean-Pierre Conze

Publication date: 6 June 2013

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aihp/1366117658

zbMATH Keywords

Abelian groupsalmost everywhere convergenceconvolution powersstrictly aperiodic probabilitiessweeping out

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (3)

Almost everywhere convergence of powers of some positive \(L_p\) contractions ⋮ Some convergence theorems for multipliers on commutative Banach algebras ⋮ On the convergence of iterates of convolution operators in Banach spaces

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