Oscillation in ergodic theory: Higher dimensional results
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Publication:1424026
DOI10.1007/BF02776048zbMath1052.28010MaRDI QIDQ1424026
Roger L. Jones, Máté Wierdl, Joseph Max Rosenblatt
Publication date: 8 March 2004
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Measure-preserving transformations (28D05) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)
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Cites Work
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- Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
- On the maximal ergodic theorem for certain subsets of the integers
- Individual ergodic theorem for normal operators in \(L_ 2\).
- Fluctuations of ergodic averages
- On the existence of certain singular integrals
- Oscillation inequalities for rectangles
- A THEOREM ON THE CONVERGENCE ALMOST EVERYWHERE OF A SEQUENCE OF MEASURABLE FUNCTIONS, AND ITS APPLICATIONS TO SEQUENCES OF STOCHASTIC INTEGRALS
- Oscillation in ergodic theory
- ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS
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