Pointwise ergodic theorems for radial averages on simple Lie groups. I

DOI10.1215/S0012-7094-94-07605-9zbMath0838.43013OpenAlexW1569383592MaRDI QIDQ1345227

Amos Nevo

Publication date: 30 March 1995

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07605-9

zbMATH Keywords

spherical functionslocally compact groupprobability spaceprobability measuresGelfand pairLittlewood-Paley square functionnormalized Haar measurepointwise ergodic

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Harmonic analysis and spherical functions (43A90)

Related Items

Spherical maximal operator on symmetric spaces of constant curvature ⋮ Pointwise ergodic theorems for radial averages on the Heisenberg group ⋮ Spherical maximal operator on symmetric spaces, an end point estimate ⋮ Limit theorems for rank-one Lie groups ⋮ Pointwise ergodic theorems for radial averages on simple Lie groups. II ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ Pointwise ergodic theorems beyond amenable groups ⋮ 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 \(\text{PSL}_2(\mathbb{R})\)

Cites Work

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