On Billard's Theorem for Random Fourier Series

Guy 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 -