Unconditional Convergence of Fourier Series for Functions of Bounded Variation

Unconditional Convergence of Fourier Series for Functions of Bounded Variation

This article concerns the unconditional convergence a.e. of Fourier series with respect to general orthonormal systems. We find certain conditions to be satisfied by the functions in the orthonormal system so that the Fourier series of each function of finite variation unconditionally converge a.e....

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Siberian mathematical journal 2018, Vol.59 (1), p.65-72
Hauptverfasser: Gogoladze, L. D., Tsagareishvili, V. Sh
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Fourier series
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This article concerns the unconditional convergence a.e. of Fourier series with respect to general orthonormal systems. We find certain conditions to be satisfied by the functions in the orthonormal system so that the Fourier series of each function of finite variation unconditionally converge a.e. The results are best possible.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446618010081