An exponential estimate for the cubic partial sums of multiple Fourier series

An exponential estimate for the cubic partial sums of multiple Fourier series

We prove an exponential integral estimate for the cubic partial sums of multiple Fourier series on sets of large measure. This estimate yields some new properties of Fourier series.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Izvestiya. Mathematics 2019-04, Vol.83 (2), p.273-286
Hauptverfasser: Karagulyan, G. A., Mkoyan, H. A.
Format: Artikel
Sprache:eng
Schlagworte:
cubic partial sums
exponential integral estimates
Fourier series
multiple Fourier series
Sums
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove an exponential integral estimate for the cubic partial sums of multiple Fourier series on sets of large measure. This estimate yields some new properties of Fourier series.
ISSN:1064-5632
1468-4810
DOI:10.1070/IM8769