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.
Keywords:
ullrich grubb moore proved lacunary trigonometric series satisfying hadamards gap condition recurrent prove existence recurrent trigonometric series bounded gaps
Affiliations des auteurs :
Katusi Fukuyama
1
;
Dinesh Neupane
1
1
Department of Mathematics Kobe University Rokko, Kobe, 657-8501, Japan
@article{10_4064_cm121_2_10,
author = {Katusi Fukuyama and Dinesh Neupane},
title = {Recurrence for cosine series with bounded gaps},
journal = {Colloquium Mathematicum},
pages = {281--284},
year = {2010},
volume = {121},
number = {2},
doi = {10.4064/cm121-2-10},
language = {en},
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AU - Dinesh Neupane
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Katusi Fukuyama; Dinesh Neupane. Recurrence for cosine series with bounded gaps. Colloquium Mathematicum, Tome 121 (2010) no. 2, pp. 281-284. doi: 10.4064/cm121-2-10
