19 citations · 48 across the 32 of their papers we have counts for
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Pointwise convergence of almost periodic Fourier series and associated series of dilates
Christophe Cuny, Michel Weber
Let be the Stepanov space and let . Let be satisfying Wiener's condition $A:= \sum_{n\ge 1} \big(\sum_{k\, :\, n\le λ_k \le n+1}…
Convergence of series of dilated functions and spectral norms of GCD matrices
Christoph Aistleitner, Istvan Berkes, Kristian Seip +1
We establish a connection between the norm of sums of dilated functions whose th Fourier coefficients are for some , and the spectral n…
On series and Khinchin's conjecture
Istvan Berkes, Michel Weber
We prove the optimality of a criterion of Koksma (1953) in Khinchin's conjecture, settling a long standing open problem in analysis. Using this result, we also give a near optimal…
On series of dilated functions
Istvan Berkes, Michel Weber
Given a periodic function , we study the almost everywhere and norm convergence of series . As the classical theory shows, the behavior of such seri…