# On Billard's Theorem for Random Fourier Series

Bulletin of the Polish Academy of Sciences. Mathematics (2005)

- Volume: 53, Issue: 1, page 39-53
- ISSN: 0239-7269

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topGuy Cohen, and Christophe Cuny. "On Billard's Theorem for Random Fourier Series." Bulletin of the Polish Academy of Sciences. Mathematics 53.1 (2005): 39-53. <http://eudml.org/doc/280675>.

@article{GuyCohen2005,

abstract = {We show that Billard's theorem on a.s. uniform convergence of random Fourier series with independent symmetric coefficients is not true when the coefficients are only assumed to be centered independent. We give some necessary or sufficient conditions to ensure the validity of Billard's theorem in the centered case.},

author = {Guy Cohen, Christophe Cuny},

journal = {Bulletin of the Polish Academy of Sciences. Mathematics},

keywords = {Banach valued random variables; random Fourier series; almost sure uniform convergence; Billard's theorem},

language = {eng},

number = {1},

pages = {39-53},

title = {On Billard's Theorem for Random Fourier Series},

url = {http://eudml.org/doc/280675},

volume = {53},

year = {2005},

}

TY - JOUR

AU - Guy Cohen

AU - Christophe Cuny

TI - On Billard's Theorem for Random Fourier Series

JO - Bulletin of the Polish Academy of Sciences. Mathematics

PY - 2005

VL - 53

IS - 1

SP - 39

EP - 53

AB - We show that Billard's theorem on a.s. uniform convergence of random Fourier series with independent symmetric coefficients is not true when the coefficients are only assumed to be centered independent. We give some necessary or sufficient conditions to ensure the validity of Billard's theorem in the centered case.

LA - eng

KW - Banach valued random variables; random Fourier series; almost sure uniform convergence; Billard's theorem

UR - http://eudml.org/doc/280675

ER -

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