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math.FA2017
On modulated ergodic theorems
Tanja Eisner, Michael Lin
Let be a weakly almost periodic (WAP) linear operator on a Banach space . A sequence of scalars {\it modulates} on if $\frac1n\sum_{k=1}^n…
math.FA2017
Wiener's lemma along primes and other subsequences
Christophe Cuny, Tanja Eisner, Bálint Farkas
Inspired by subsequential ergodic theorems, we study the validity of Wiener's lemma and the extremal behavior of a measure on the unit circle via the behavior of its Fourier co…