Some classes of functions and Fourier coefficients with respect to general orthonormal systems
Informatics and Automation, Orthogonal series, approximation theory, and related problems, Tome 280 (2013), pp. 162-174.

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

@article{TRSPY_2013_280_a9,
     author = {L. Gogoladze and V. Tsagareishvili},
     title = {Some classes of functions and {Fourier} coefficients with respect to general orthonormal systems},
     journal = {Informatics and Automation},
     pages = {162--174},
     publisher = {mathdoc},
     volume = {280},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2013_280_a9/}
}
TY  - JOUR
AU  - L. Gogoladze
AU  - V. Tsagareishvili
TI  - Some classes of functions and Fourier coefficients with respect to general orthonormal systems
JO  - Informatics and Automation
PY  - 2013
SP  - 162
EP  - 174
VL  - 280
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2013_280_a9/
LA  - ru
ID  - TRSPY_2013_280_a9
ER  - 
%0 Journal Article
%A L. Gogoladze
%A V. Tsagareishvili
%T Some classes of functions and Fourier coefficients with respect to general orthonormal systems
%J Informatics and Automation
%D 2013
%P 162-174
%V 280
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2013_280_a9/
%G ru
%F TRSPY_2013_280_a9
L. Gogoladze; V. Tsagareishvili. Some classes of functions and Fourier coefficients with respect to general orthonormal systems. Informatics and Automation, Orthogonal series, approximation theory, and related problems, Tome 280 (2013), pp. 162-174. http://geodesic.mathdoc.fr/item/TRSPY_2013_280_a9/

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

[2] Banach S., “Sur la divergence des séries orthogonales”, Stud. math., 9 (1940), 139–155 | MR

[3] Tsagareishvili V.Sh., “Funktsionalnye usloviya dlya skhodimosti ryadov Fure otnositelno obschikh ortonormirovannykh sistem”, Izv. vuzov. Matematika, 2011, no. 5, 68–74 | MR | Zbl

[4] Tsagareishvili V., “On the Fourier coefficients for general orthonormal systems”, Proc. A. Razmadze Math. Inst., 124 (2000), 131–150 | MR | Zbl

[5] Zigmund A., Trigonometricheskie ryady, T. 1, Mir, M., 1965 | MR

[6] Fine N.J., “On the Walsh functions”, Trans. Amer. Math. Soc., 65 (1949), 372–414 | DOI | MR | Zbl

[7] Aleksich G., Problemy skhodimosti ortogonalnykh ryadov, Izd-vo inostr. lit., M., 1963 | MR