Almost Everywhere Convergence of Series in L

  title={Almost Everywhere Convergence of Series in L},
  author={Ciprian Demeter},
We answer positively a question of J. Rosenblatt (1988), proving the existence of a sequence (ci) with ∑∞ i=1 |ci| = ∞, such that for every dynamical system (X, Σ, m, T ) and f ∈ L1(X), ∑∞i=1 cif(T ix) converges almost everywhere. A similar result is obtained in the real variable context. 

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