The Fourier coefficients of functions with bounded variation

We consider Fourier coefficients for functions of bounded variation with respect to general orthonormal systems (GONS). We show that in general case the sequence of coefficients may have an arbitrarily prescribed order of vanishing. In this connection we seek for a class of GONS such that Fourier co...

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Veröffentlicht in:	Russian mathematics 2013-08, Vol.57 (8), p.10-19
Hauptverfasser:	Gogoladze, L. D., Tsagareishvili, V. Sh
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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