Geodesic
Uniqueness of Multiple Walsh Series for the Convergence on Binary Cubes
Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 586-598

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

We consider uniqueness problems for multiple Walsh series convergent on binary cubes on a multidimensional binary group. We find conditions under which a given finite or countable set is a set of uniqueness.
Keywords: multiple Walsh series, convergence on binary cubes, multidimensional binary group, uniqueness group, uniqueness set, index set. 
N. S. Moreva. Uniqueness of Multiple Walsh Series for the Convergence on Binary Cubes. Matematičeskie zametki, Tome 81 (2007) no. 4, pp. 586-598. http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a11/
@article{MZM_2007_81_4_a11,
     author = {N. S. Moreva},
     title = {Uniqueness of {Multiple} {Walsh} {Series} for the {Convergence} on {Binary} {Cubes}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {586--598},
     year = {2007},
     volume = {81},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a11/}
}
TY  - JOUR
AU  - N. S. Moreva
TI  - Uniqueness of Multiple Walsh Series for the Convergence on Binary Cubes
JO  - Matematičeskie zametki
PY  - 2007
SP  - 586
EP  - 598
VL  - 81
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a11/
LA  - ru
ID  - MZM_2007_81_4_a11
ER  - 
%0 Journal Article
%A N. S. Moreva
%T Uniqueness of Multiple Walsh Series for the Convergence on Binary Cubes
%J Matematičeskie zametki
%D 2007
%P 586-598
%V 81
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_2007_81_4_a11/
%G ru
%F MZM_2007_81_4_a11

[1] F. Schipp, W. R. Wade, P. Simon, Walsh Series. An Introduction to Dyadic Harmonic Analysis, Academiai Kiado, Budapest, 1990 | MR | Zbl

[2] S. F. Lukomskii, “On $U$-set for multiple Walsh series”, Anal. Math., 18:2 (1992), 127–138 | DOI | MR | Zbl

[3] M. G. Plotnikov, “Ob $U$-mnozhestvakh dlya kratnykh ryadov Uolsha”, Sovremennye problemy teorii funktsii i ikh prilozheniya, Tezizy dokladov 13-i Saratov. zimnei shkoly, Izd. “Nauchnaya kniga”, Saratov, 2006, 140–141

[4] F. Weisz, “Uniqueness of two-parameter dyadic martingales and Walsh–Fourier series”, Mathematica Pannonica, 9:1 (1998), 131–140 | MR | Zbl

[5] S. F. Lukomskii, “Ob absolyutnoi skhodimosti kratnykh ryadov Uolsha”, Izv. vuzov. Ser. matem., 1988, no. 4, 34–36 | MR | Zbl