Recurrence for cosine series with bounded gaps

Katusi Fukuyama; Dinesh Neupane

Colloquium Mathematicae (2010)

  • Volume: 121, Issue: 2, page 281-284
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Katusi Fukuyama, and Dinesh Neupane. "Recurrence for cosine series with bounded gaps." Colloquium Mathematicae 121.2 (2010): 281-284. <http://eudml.org/doc/284104>.

@article{KatusiFukuyama2010,
abstract = {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.},
author = {Katusi Fukuyama, Dinesh Neupane},
journal = {Colloquium Mathematicae},
keywords = {recurrence; lacunary series},
language = {eng},
number = {2},
pages = {281-284},
title = {Recurrence for cosine series with bounded gaps},
url = {http://eudml.org/doc/284104},
volume = {121},
year = {2010},
}

TY - JOUR
AU - Katusi Fukuyama
AU - Dinesh Neupane
TI - Recurrence for cosine series with bounded gaps
JO - Colloquium Mathematicae
PY - 2010
VL - 121
IS - 2
SP - 281
EP - 284
AB - 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.
LA - eng
KW - recurrence; lacunary series
UR - http://eudml.org/doc/284104
ER -

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