Convergence of Fourier Series with Respect to General Orthonormal Systems
Matematičeskie zametki, Tome 99 (2016) no. 4, pp. 618-622
Cet article a éte moissonné depuis la source Math-Net.Ru
Mots-clés :
convergence of Fourier series, Fourier coefficients, Lebesgue function
Keywords: orthonormal system, Kaczmarz theorem, Haar system, Walsh system.
Keywords: orthonormal system, Kaczmarz theorem, Haar system, Walsh system.
@article{MZM_2016_99_4_a13,
author = {L. D. Gogoladze and V. Sh. Tsagareishvili},
title = {Convergence of {Fourier} {Series} with {Respect} to {General} {Orthonormal} {Systems}},
journal = {Matemati\v{c}eskie zametki},
pages = {618--622},
year = {2016},
volume = {99},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_4_a13/}
}
L. D. Gogoladze; V. Sh. Tsagareishvili. Convergence of Fourier Series with Respect to General Orthonormal Systems. Matematičeskie zametki, Tome 99 (2016) no. 4, pp. 618-622. http://geodesic.mathdoc.fr/item/MZM_2016_99_4_a13/
[1] G. Aleksich, Problemy skhodimosti ortogonalnykh ryadov, IL, M., 1963 | MR | Zbl
[2] S. Banach, Studia Math., 9 (1940), 139–155 | MR | Zbl
[3] B. C. Kashin, A. A. Saakyan, Ortogonalnye ryady, Izd-vo AFTs, M., 1999 | MR | Zbl
[4] N. J. Fine, Trans. Amer. Math. Soc., 65 (1949), 372–414 | DOI | MR | Zbl
[5] V. Sh. Tsagareishvili, Izv. RAN. Ser. matem., 76:2 (2012), 215–224 | DOI | MR | Zbl
[6] L. D. Gogoladze, V. Sh. Tsagareishvili, Ortogonalnye ryady, teoriya priblizhenii i smezhnye voprosy, Sbornik statei. K 60-letiyu so dnya rozhdeniya akademika Borisa Sergeevicha Kashina, Tr. MIAN, 280, MAIK, M., 2013, 162–174 | DOI | MR