Geodesic
Functional conditions for the convergence of Fourier series with respect to general orthonormal systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 68-74

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In this paper we establish some functional conditions for the convergence of the Fourier series for functions from the class $C(0,1)$ with respect to general orthonormal systems.
Keywords: orthonormal system, Fourier series, modulus of continuity.
Mots-clés : Fourier coefficients 
@article{IVM_2011_5_a8,
     author = {V. Sh. Tsagareishvili},
     title = {Functional conditions for the convergence of {Fourier} series with respect to general orthonormal systems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {68--74},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_5_a8/}
}
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V. Sh. Tsagareishvili. Functional conditions for the convergence of Fourier series with respect to general orthonormal systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2011), pp. 68-74. http://geodesic.mathdoc.fr/item/IVM_2011_5_a8/