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Matematicheskie Zametki, 2016, Volume 99, Issue 3, Pages 428–440
DOI: https://doi.org/10.4213/mzm10474 (Mi mzm10474) 		 
The Fourier Coefficients of Continuous Functions with Respect to Certain Orthonormal Systems

V. Sh. Tsagareishvili

Tbilisi Ivane Javakhishvili State University
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DOI: https://doi.org/10.4213/mzm10474
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.
Keywords: Fourier coefficient, orthonormal system, Haar system, Rademacher function, modulus of continuity, Bessel's inequality.
Received: 11.03.2014
Revised: 03.07.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 3, Pages 432–443
DOI: https://doi.org/10.1134/S0001434616030135
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. Sh. Tsagareishvili, “The Fourier Coefficients of Continuous Functions with Respect to Certain Orthonormal Systems”, Mat. Zametki, 99:3 (2016), 428–440; Math. Notes, 99:3 (2016), 432–443
Citation in format AMSBIB
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