On convergence almost everywhere of series of dilated functions

DOI10.1016/j.crma.2015.07.010zbMath1348.40003OpenAlexW1158333558MaRDI QIDQ889476

Michel J. G. Weber

Publication date: 6 November 2015

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.2015.07.010

zbMATH Keywords

dilated Fourier series

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (1)

On a certain arithmetical determinant

Cites Work

• GCD sums from Poisson integrals and systems of dilated functions
• On systems of dilated functions
• ON SERIES OF DILATED FUNCTIONS
• On the convergence of ∑𝑐_{𝑘}𝑓(𝑛_{𝑘}𝑥)
• An arithmetical mapping and applications to Ω-results for the Riemann zeta function
• Note on some greatest common divisor matrices
• Convergence of series of dilated functions and spectral norms of GCD matrices

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