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The Fourier coefficients of continuous functions with respect to certain orthonormal systems

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Abstract

The properties of the Fourier coefficients for some classes of functions with respect to both the Haar system and general orthonormal systems are studied. It is established that the results obtained in the paper cannot be strengthened.

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Correspondence to V. Sh. Tsagareishvili.

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Original Russian Text © V. Sh. Tsagareishvili, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 3, pp. 428–440.

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Tsagareishvili, V.S. The Fourier coefficients of continuous functions with respect to certain orthonormal systems. Math Notes 99, 432–443 (2016). https://doi.org/10.1134/S0001434616030135

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  • DOI: https://doi.org/10.1134/S0001434616030135

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