The spherical ergodic theorem revisited

DOI10.1016/j.exmath.2009.02.004zbMath1183.28026OpenAlexW2075272826MaRDI QIDQ1028224

Philippe Jaming

Publication date: 30 June 2009

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2009.02.004

zbMATH Keywords

ergodic theoremspherical maximal theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (1)

Non-commutative ergodic averages of balls and spheres over Euclidean spaces

Cites Work

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• Averages in the plane over convex curves and maximal operators
• Maximal functions and Fourier transforms
• Wave front sets, local smoothing and Bourgain's circular maximal theorem
• Ergodic averages on spheres
• Ergodic averages on circles
• Oscillatory integrals and maximal averages over homogeneous surfaces
• Maximal functions: Spherical means
• ENDPOINT MAPPING PROPERTIES OF SPHERICAL MAXIMAL OPERATORS

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