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On the convergence of $\sum c_kf(n_kx)$


About this Title

István Berkes and Michel Weber

Publication: Memoirs of the American Mathematical Society
Publication Year 2009: Volume 201, Number 943
ISBNs: 978-0-8218-4324-6 (print); 978-1-4704-0557-1 (online)
DOI: http://dx.doi.org/10.1090/memo/0943
MathSciNet review: 2541755
MSC (2000): Primary 42C15; Secondary 11K38, 30B50, 42A55, 60G50

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Table of Contents


Chapters

  • Introduction
  • Chapter 1. Mean convergence
  • Chapter 2. Almost everywhere convergence: Sufficient conditions
  • Chapter 3. Almost everywhere convergence: Necessary conditions
  • Chapter 4. Random sequences
  • Chapter 5. Discrepancy of random sequences $\{S_nx\}$
  • Chapter 6. Some open problems

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