On the almost everywhere existence of the ergodic Hilbert transform
نویسندگان
چکیده
منابع مشابه
Everywhere divergence of the one-sided ergodic Hilbert transform for circle rotations by Liouville numbers
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Criteria of Divergence Almost Everywhere in Ergodic Theory
In this expository paper, we survey nowadays classical tools or criteria used in problems of convergence everywhere to build counterexamples: the Stein continuity principle, Bourgain’s entropy criteria and Kakutani-Rochlin lemma, most classical device for these questions in ergodic theory. First, we state a L-version of the continuity principle and give an example of its usefulness by applying ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1989
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1989-0939964-1