Analogs of Wiener's ergodic theorems for semisimple Lie groups. II

DOI10.1215/S0012-7094-00-10323-7zbMath0978.22006OpenAlexW2015048939WikidataQ101086104 ScholiaQ101086104MaRDI QIDQ1572888

Elias M. Stein, Amos Nevo, Gregory A. Margulis

Publication date: 30 January 2001

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-00-10323-7

zbMATH Keywords

semisimple Lie groupsmaximal inequalityergodic theoremKazhdan property

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Analysis on real and complex Lie groups (22E30) Harmonic analysis and spherical functions (43A90) Measure algebras on groups, semigroups, etc. (43A10) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items

FAILURE OF THE POINTWISE AND MAXIMAL ERGODIC THEOREMS FOR THE FREE GROUP ⋮ Exponential mixing for the Teichmüller flow ⋮ Convergence of spherical averages for actions of Fuchsian groups ⋮ Decay estimates for matrix coefficients of unitary representations of semisimple Lie groups ⋮ Ergodic theory and the duality principle on homogeneous spaces ⋮ A pointwise ergodic theorem for Fuchsian groups ⋮ On Arnol’d’s and Kazhdan’s equidistribution problems ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ Pointwise ergodic theorems beyond amenable groups ⋮ Empirical means for the Voronoi tessellations of the Poincaré disc. ⋮ Spherical means on compact locally symmetric spaces of non-positive curvature ⋮ Randomized multivariate central limit theorems for ergodic homogeneous random fields ⋮ Failure of the \(L^1\) pointwise ergodic theorem for \(\text{PSL}_2(\mathbb{R})\)

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