Uniqueness Theorem for Multiple Franklin Series
Matematičeskie zametki, Tome 101 (2017) no. 2, pp. 199-210
Voir la notice de l'article provenant de la source Math-Net.Ru
The paper presents the proof of the uniqueness theorem for multiple series in the Franklin system that converge in measure and whose majorant of cubic partial sums with numbers $2^\nu$ satisfies a certain necessary condition. This result is new in the one-dimensional case as well.
Keywords:
multiple series, Franklin system, uniqueness.
@article{MZM_2017_101_2_a4,
author = {G. G. Gevorkyan},
title = {Uniqueness {Theorem} for {Multiple} {Franklin} {Series}},
journal = {Matemati\v{c}eskie zametki},
pages = {199--210},
publisher = {mathdoc},
volume = {101},
number = {2},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_2_a4/}
}
G. G. Gevorkyan. Uniqueness Theorem for Multiple Franklin Series. Matematičeskie zametki, Tome 101 (2017) no. 2, pp. 199-210. http://geodesic.mathdoc.fr/item/MZM_2017_101_2_a4/