On the limits of Cesàro means of polynomial powers

DOI10.1007/s00209-010-0694-5zbMath1228.47014OpenAlexW2009484501MaRDI QIDQ636767

Dávid Kunszenti-Kovács, Robin Nittka, Manfred Sauter

Publication date: 30 August 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0694-5

zbMATH Keywords

projectionsroots of unitypermutation polynomialspolynomial Cesàro averagesunconventional ergodic means

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Polynomials over finite fields (11T06)

Related Items (2)

Wiener's lemma along primes and other subsequences ⋮ A van der Corput-type lemma for power bounded operators

Cites Work

• On the limit of square-Cesàro means of contractions on Hilbert spaces
• On the maximal ergodic theorem for certain subsets of the integers
• Powers of a contraction in Hilbert space
• On operator convergence in Hilbert space and in Lebesgue space
• Modulated and subsequential ergodic theorems in Hilbert and Banach spaces
• Mixing for Markov operators
• Shorter Notes: A Note on the Blum-Hanson Theorem
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