Fourier series and Fourier–Haar series for stochastic measures

2018 ◽  
Vol 96 ◽  
pp. 159-167
Author(s):  
V. M. Radchenko ◽  
N. O. Stefans’ka
Keyword(s):  
Fourier Series ◽  
Haar Series ◽  
Stochastic Measures

On the absolute convergence of Fourier series with respect to general orthonormal systems

2017 ◽  
Vol 24 (3) ◽  
pp. 471-478 ◽  
Author(s):  
Vakhtang Tsagareishvili
Keyword(s):  
Fourier Series ◽  
Absolute Convergence ◽  
Multiple Fourier Series ◽  
Haar Series ◽  
The Absolute

AbstractThe problems of absolute convergence of multiple Fourier series with respect to both general orthonormal systems and multiple Haar series are studied.

Weak Type Maximal Inequality and the Rate of Growth of Integral Means

2000 ◽  
Vol 7 (3) ◽  
pp. 531-550
Author(s):  
G. Lepsveridze
Keyword(s):  
Fourier Series ◽  
Weak Type ◽  
Maximal Inequality ◽  
Trigonometric Fourier Series ◽  
Growth Order ◽  
Integral Means ◽  
Rate Of Growth ◽  
Haar Series

Abstract The results of positive and negative character on growth order of integral means are presented. Estimates of growth order of multiple Fourier–Haar series and trigonometric Fourier series are implied.

Topology Optimization of IPM Motors using Fourier Series

2017 ◽  
Vol 137 (3) ◽  
pp. 245-253
Author(s):  
Hidenori Sasaki ◽  
Hajime Igarashi
Keyword(s):  
Fourier Series ◽  
Topology Optimization

The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series

2008 ◽  
Vol 45 (3) ◽  
pp. 321-331
Author(s):  
István Blahota ◽  
Ushangi Goginava
Keyword(s):  
Fourier Series ◽  
Hardy Space ◽  
Maximal Operator ◽  
Fejér Means

In this paper we prove that the maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series is not bounded from the Hardy space H2/3 ( G2 ) to the space L2/3 ( G2 ).

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