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 
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     author = {V. Sh. Tsagareishvili},
     title = {Functional conditions for the convergence of {Fourier} series with respect to general orthonormal systems},
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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/

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