# Boundary behavior and Cesàro means of universal Taylor series.

Revista Matemática Complutense (2006)

- Volume: 19, Issue: 1, page 235-247
- ISSN: 1139-1138

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topBayart, Frédéric. "Boundary behavior and Cesàro means of universal Taylor series.." Revista Matemática Complutense 19.1 (2006): 235-247. <http://eudml.org/doc/40887>.

@article{Bayart2006,

abstract = {We study boundary properties of universal Taylor series. We prove that if f is a universal Taylor series on the open unit disk, then there exists a residual subset G of the unit circle such that f is unbounded on all radii with endpoints in G. We also study the effect of summability methods on universal Taylor series. In particular, we show that a Taylor series is universal if and only if its Cesàro means are universal.},

author = {Bayart, Frédéric},

journal = {Revista Matemática Complutense},

keywords = {Funciones de variable compleja; Desarrollo en serie de funciones; Series de Taylor; Sumabilidad Cesaro; universal series; Ostrowski gaps; overconvergence},

language = {eng},

number = {1},

pages = {235-247},

title = {Boundary behavior and Cesàro means of universal Taylor series.},

url = {http://eudml.org/doc/40887},

volume = {19},

year = {2006},

}

TY - JOUR

AU - Bayart, Frédéric

TI - Boundary behavior and Cesàro means of universal Taylor series.

JO - Revista Matemática Complutense

PY - 2006

VL - 19

IS - 1

SP - 235

EP - 247

AB - We study boundary properties of universal Taylor series. We prove that if f is a universal Taylor series on the open unit disk, then there exists a residual subset G of the unit circle such that f is unbounded on all radii with endpoints in G. We also study the effect of summability methods on universal Taylor series. In particular, we show that a Taylor series is universal if and only if its Cesàro means are universal.

LA - eng

KW - Funciones de variable compleja; Desarrollo en serie de funciones; Series de Taylor; Sumabilidad Cesaro; universal series; Ostrowski gaps; overconvergence

UR - http://eudml.org/doc/40887

ER -

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