Geodesic
Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh--Kaczmarz System
Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 257-270

Voir la notice de l'article provenant de la source Math-Net.Ru

A new lower bound for the growth of the Dirichlet kernel for the Walsh–Kaczmarz system is obtained and an example of an almost everywhere divergent Fourier series with respect to this system from a class narrower than that examined earlier is constructed.
Keywords: Dirichlet kernel, Fourier series, Walsh–Kaczmarz system, Kaczmarz indexing, Walsh function.
Mots-clés : Lebesgue measure 
@article{MZM_2014_95_2_a8,
     author = {I. V. Polyakov},
     title = {Estimates of the {Dirichlet} {Kernel} and {Divergent} {Fourier} {Series} in the {Walsh--Kaczmarz} {System}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {257--270},
     publisher = {mathdoc},
     volume = {95},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a8/}
}
TY  - JOUR
AU  - I. V. Polyakov
TI  - Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh--Kaczmarz System
JO  - Matematičeskie zametki
PY  - 2014
SP  - 257
EP  - 270
VL  - 95
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a8/
LA  - ru
ID  - MZM_2014_95_2_a8
ER  - 
%0 Journal Article
%A I. V. Polyakov
%T Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh--Kaczmarz System
%J Matematičeskie zametki
%D 2014
%P 257-270
%V 95
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a8/
%G ru
%F MZM_2014_95_2_a8
I. V. Polyakov. Estimates of the Dirichlet Kernel and Divergent Fourier Series in the Walsh--Kaczmarz System. Matematičeskie zametki, Tome 95 (2014) no. 2, pp. 257-270. http://geodesic.mathdoc.fr/item/MZM_2014_95_2_a8/