Harmonic Analysis and Pointwise Ergodic Theorems for Noncommuting Transformations

DOI10.2307/2152735zbMath0812.22005OpenAlexW4251669107MaRDI QIDQ4313889

Amos Nevo

Publication date: 17 May 1995

Full work available at URL: https://doi.org/10.2307/2152735

zbMATH Keywords

measure preserving transformationsfree groupsemi-homogeneous treeunitary representationslatticesGelfand pairgroup of automorphismsmaximal compact subgroupword lengthpointwise ergodic theoremfree generatorsstrong maximal inequalityconvolution subalgebra

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Harmonic analysis on hypergroups (43A62) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items

Mean convergence of Markovian spherical averages for measure-preserving actions of the free group ⋮ Pointwise ergodic theorems for radial averages on simple Lie groups. I ⋮ Pointwise ergodic theorems for radial averages on the Heisenberg group ⋮ Ergodic theorems for coset spaces ⋮ Convergence of spherical averages for actions of Fuchsian groups ⋮ On Markov operators and ergodic theorems for group actions ⋮ Pointwise ergodic theorems for radial averages on simple Lie groups. II ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ On ergodic theorems for free group actions on noncommutative spaces ⋮ A note on non-commutative ergodic theorems for actions of hyperbolic groups ⋮ Maximal inequality and ergodic theorems for Markov groups ⋮ A note on maximal averages in the plane ⋮ Analogs of Wiener's ergodic theorems for semisimple Lie groups. II ⋮ Failure of the \(L^1\) pointwise ergodic theorem for \(\text{PSL}_2(\mathbb{R})\)

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