Von Neumann's ergodic theorem and Fejer sums for signed measures on the circle

DOI10.33048/semi.2020.17.097zbMath1448.37004OpenAlexW3114367258WikidataQ114037238 ScholiaQ114037238MaRDI QIDQ2201006

Yanyan Li

Publication date: 24 September 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.097

zbMATH Keywords

rates of convergencevon Neumann ergodic theoremdeviations of Fejer sumsintegral Hölder condition

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

• On the constants in the estimates of the rate of convergence in von Neumann's ergodic theorem
• Fejér sums for periodic measures and the von Neumann ergodic theorem
• Constants in estimates for the rates of convergence in von Neumann's and Birkhoff's ergodic theorems
• The rate of convergence in ergodic theorems
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