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On systems of dilated functions

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Publication:654549
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DOI10.1016/j.crma.2011.11.003zbMath1234.42002OpenAlexW2031702590MaRDI QIDQ654549

Michel J. G. Weber

Publication date: 28 December 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.11.003


Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)


Related Items

The Lerch zeta function. IV: Hecke operators, On convergence almost everywhere of series of dilated functions, Almost everywhere convergence questions of series of translates of non-negative functions, An arithmetical approach to the convergence problem of series of dilated functions and its connection with the Riemann zeta function, On series \(\sum c_k f(kx)\) and Khinchin's conjecture, Convergence of series of dilated functions and spectral norms of GCD matrices



Cites Work

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  • Dynamical systems and processes
  • On convergence and growth of partial sums of Fourier series
  • On the convergence of ∑𝑐_{𝑘}𝑓(𝑛_{𝑘}𝑥)
  • On a New Technique and Its Applications to the Theory of Numbers
  • On the convergence of ∑𝑐_{𝑛}𝑓(𝑛𝑥) and the Lip 1/2 class
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