Analogs of Wiener's ergodic theorems for semisimple groups. I

DOI10.2307/2951845zbMath0884.43004OpenAlexW2328750840MaRDI QIDQ1360704

Amos Nevo, Elias M. Stein

Publication date: 23 July 1997

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2951845

zbMATH Keywords

maximal ergodic theoremball averagepointwise ergodic theoremsimple real-rank one Lie groupssphere average

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Analysis on other specific Lie groups (43A80)

Related Items (14)

Spherical maximal operator on symmetric spaces of constant curvature ⋮ FAILURE OF THE POINTWISE AND MAXIMAL ERGODIC THEOREMS FOR THE FREE GROUP ⋮ Convergence of spherical averages for actions of Fuchsian groups ⋮ Spherical maximal operator on symmetric spaces, an end point estimate ⋮ A pointwise ergodic theorem for Fuchsian groups ⋮ Limit theorems for rank-one Lie groups ⋮ 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, wave equations, and Hermite-Laguerre expansions ⋮ Spherical means on compact locally symmetric spaces of non-positive curvature ⋮ Hyperbolic geometry and pointwise ergodic theorems ⋮ Analogs of Wiener's ergodic theorems for semisimple Lie groups. II ⋮ Failure of the \(L^1\) pointwise ergodic theorem for \(\text{PSL}_2(\mathbb{R})\)

This page was built for publication: Analogs of Wiener's ergodic theorems for semisimple groups. I