Recurrence for cosine series with bounded gaps
Tom 121 / 2010
Colloquium Mathematicum 121 (2010), 281-284
MSC: Primary 42A55.
DOI: 10.4064/cm121-2-10
Streszczenie
Ullrich, Grubb and Moore proved that a lacunary trigonometric series satisfying Hadamard's gap condition is recurrent a.e. We prove the existence of a recurrent trigonometric series with bounded gaps.