Unconditional Convergence of General Fourier Series

We consider problems of unconditional convergence of Fourier series of functions with respect to general orthonormal systems (ONSs). Sufficient conditions on the functions of an ONS are found under which the Fourier series of every function with respect to this system converges unconditionally. We s...

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Veröffentlicht in:	Proceedings of the Steklov Institute of Mathematics 2022-12, Vol.319 (1), p.74-84
Hauptverfasser:	Gogoladze, L., Tsagareishvili, V.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Convergence Fourier series Mathematics Mathematics and Statistics
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