Lebesgue functions for Haar system on compact zero-dimensional group
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 3, pp. 30-36
Cet article a éte moissonné depuis la source Math-Net.Ru
In this article we discuss Lebesgue functions for Haar system on compact zero-dimensional group. We find cases when they are constant, also we find two-sided estimates for Lebesgue functions.
@article{ISU_2012_12_3_a4,
author = {N. E. Komissarova},
title = {Lebesgue functions for {Haar} system on compact zero-dimensional group},
journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
pages = {30--36},
year = {2012},
volume = {12},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a4/}
}
TY - JOUR AU - N. E. Komissarova TI - Lebesgue functions for Haar system on compact zero-dimensional group JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics PY - 2012 SP - 30 EP - 36 VL - 12 IS - 3 UR - http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a4/ LA - ru ID - ISU_2012_12_3_a4 ER -
N. E. Komissarova. Lebesgue functions for Haar system on compact zero-dimensional group. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 3, pp. 30-36. http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a4/
[1] Agaev G. N., Vilenkin N. Ya., Dzhafarli G. M., Rubinshtein A. I., Multiplikativnye sistemy funktsii i garmonicheskii analiz na nul-mernykh gruppakh, ELM, Baku, 1981 | MR
[2] Lukomskii S. F., “On Lebesgue constants for characters of the compact zero-dimensional Abelian groups”, East J. of Approximation, 15:2 (2009), 219–233 | MR
[3] Golubov B. I., “Ob odnom klasse polnykh ortogonalnykh sistem”, Sibirskii mat. zhurn., 9:2 (1968), 297–314 | MR | Zbl
[4] Lukomskii S. F., “O ryadakh Khaara na kompaktnykh nul-mernykh gruppakh”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 9:1 (2009), 14–19