Fejér sums for periodic measures and the von Neumann ergodic theorem

DOI10.1134/S1064562418050149zbMath1400.37009OpenAlexW2890498349MaRDI QIDQ1994089

Yanyan Li

Publication date: 1 November 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418050149

zbMATH Keywords

Fejér sumvon Neumann ergodic theorem

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (3)

Von Neumann's ergodic theorem and Fejer sums for signed measures on the circle ⋮ The Fejér integrals and the von Neumann ergodic theorem with continuous time ⋮ Uniform convergence in von Neumann’s ergodic theorem in the absence of a spectral gap

Cites Work

• Decrease rate of the probabilities of \(\varepsilon\)-deviations for the means of stationary processes
• Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems
• 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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