Geodesic
The Fourier Coefficients of Continuous Functions with Respect to Certain Orthonormal Systems
Matematičeskie zametki, Tome 99 (2016) no. 3, pp. 428-440

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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.
Mots-clés : Fourier coefficient
Keywords: orthonormal system, Haar system, Rademacher function, modulus of continuity, Bessel's inequality. 
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     author = {V. Sh. Tsagareishvili},
     title = {The {Fourier} {Coefficients} of {Continuous} {Functions} with {Respect} to {Certain} {Orthonormal} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {428--440},
     publisher = {mathdoc},
     volume = {99},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_3_a12/}
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V. Sh. Tsagareishvili. The Fourier Coefficients of Continuous Functions with Respect to Certain Orthonormal Systems. Matematičeskie zametki, Tome 99 (2016) no. 3, pp. 428-440. http://geodesic.mathdoc.fr/item/MZM_2016_99_3_a12/