Convergence of linear means of multiple fourier series of continuous functions

1989 ◽  
Vol 40 (4) ◽  
pp. 363-369
Author(s):  
P. V. Zaderei
Keyword(s):  
Fourier Series ◽  
Continuous Functions ◽  
Multiple Fourier Series ◽  
Linear Means

On the absolute convergence of multiple fourier series

2007 ◽  
Vol 117 (3) ◽  
pp. 275-292 ◽  
Author(s):  
Ferenc Móricz ◽  
Antal Veres
Keyword(s):  
Fourier Series ◽  
Absolute Convergence ◽  
Multiple Fourier Series ◽  
The Absolute

scholarly journals The multipliers of multiple trigonometric Fourier series

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Aizhan Ydyrys ◽  
Lyazzat Sarybekova ◽  
Nazerke Tleukhanova
Keyword(s):  
Fourier Series ◽  
Sufficient Conditions ◽  
Regular System ◽  
Multiple Fourier Series ◽  
Trigonometric Fourier Series ◽  
Lorentz Spaces ◽  
Complex Numbers ◽  
Multiple Trigonometric Fourier Series

Abstract We study the multipliers of multiple Fourier series for a regular system on anisotropic Lorentz spaces. In particular, the sufficient conditions for a sequence of complex numbers {λk}k∈Zn in order to make it a multiplier of multiple trigonometric Fourier series from Lp[0; 1]n to Lq[0; 1]n , p > q. These conditions include conditions Lizorkin theorem on multipliers.

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