ON SERIES OF DILATED FUNCTIONS
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Publication:2922407
DOI10.1093/qmath/has041zbMath1319.40002arXiv1205.1326OpenAlexW2079294247MaRDI QIDQ2922407
Michel J. G. Weber, István Berkes
Publication date: 10 October 2014
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.1326
Fourier expansionquadratic formgreatest common divisorDirichlet seriesa.e. convergenceorthogonal function theory
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence and divergence of series and sequences of functions (40A30)
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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 ⋮ On the positive definiteness and eigenvalues of meet and join matrices ⋮ GCD sums from Poisson integrals and systems of dilated functions ⋮ A proof of a conjecture on monotonic behavior of the smallest and the largest eigenvalues of a number theoretic matrix ⋮ Convergence of series of dilated functions and spectral norms of GCD matrices
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