Geodesic
On a Sidon-type Inequality for Discrete Orthonormal Systems
Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 582-587 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A Sidon-type inequality is proved for discrete orthonormal systems of special form whose particular case is the Walsh system.
Keywords: Sidon-type inequality, Riesz product, discrete orthonormal system, Walsh system
Mots-clés : Hadamard matrix. 
@article{MZM_2017_101_4_a7,
     author = {A. O. Radomskii},
     title = {On a {Sidon-type} {Inequality} for {Discrete} {Orthonormal} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {582--587},
     year = {2017},
     volume = {101},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a7/}
}
TY  - JOUR
AU  - A. O. Radomskii
TI  - On a Sidon-type Inequality for Discrete Orthonormal Systems
JO  - Matematičeskie zametki
PY  - 2017
SP  - 582
EP  - 587
VL  - 101
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a7/
LA  - ru
ID  - MZM_2017_101_4_a7
ER  - 
%0 Journal Article
%A A. O. Radomskii
%T On a Sidon-type Inequality for Discrete Orthonormal Systems
%J Matematičeskie zametki
%D 2017
%P 582-587
%V 101
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a7/
%G ru
%F MZM_2017_101_4_a7
A. O. Radomskii. On a Sidon-type Inequality for Discrete Orthonormal Systems. Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 582-587. http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a7/

[1] S. Sidon, “Verallgemeinerung eines Satzes über die absolute Konvergenz von Fourierreihen mit Lücken”, Math. Ann., 97:1 (1927), 675–676 | DOI | MR | Zbl

[2] B. S. Kashin, V. N. Temlyakov, “Ob odnoi norme i svyazannykh s nei prilozheniyakh”, Matem. zametki, 64:4 (1998), 637–640 | DOI | MR | Zbl

[3] B. S. Kashin, V. N. Temlyakov, “Ob odnoi norme i approksimatsionnykh kharakteristikakh klassov funktsii mnogikh peremennykh”, Metricheskaya teoriya funktsii i smezhnye voprosy analiza, Sb. statei, AFTs, M., 1999, 69–99 | MR

[4] A. O. Radomskii, “Ob odnom neravenstve tipa Sidona dlya trigonometricheskikh polinomov”, Matem. zametki, 89:4 (2011), 589–595 | DOI | MR | Zbl

[5] A. O. Radomskii, Neravenstva tipa Sidona i nekotorye svoistva prostranstva kvazinepreryvnykh funktsii, Dis. $\dots$ kand. fiz.-matem. nauk, MGU, M., 2014

[6] B. C. Kashin, A. A. Saakyan, Ortogonalnye ryady, Izd-vo AFTs, M., 1999 | MR | Zbl

[7] M. Kholl, Kombinatorika, Mir, M., 1970 | MR | Zbl