# Almost everywhere convergence questions of series of translates of non-negative functions

@inproceedings{Buczolich2022AlmostEC, title={Almost everywhere convergence questions of series of translates of non-negative functions}, author={Zolt{\'a}n Buczolich}, year={2022} }

This survey paper is based on a talk given at the 44th Summer Symposium in Real Analysis in Paris. This line of research was initiated by a question of Haight and Weizs¨aker concerning almost everywhere convergence properties of series of the form P ∞ n =1 f ( nx ). A more general, additive version of this problem is the following: Suppose Λ is a discrete inﬁnite set of nonnegative real numbers. We say that Λ is of type 1 if the series s ( x ) = P λ ∈ Λ f ( x + λ ) satisﬁes a zero-one law. This…

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