On Universal Fourier-Walsh Series

被引:0
作者
Sargsyan, A. A. [1 ]
机构
[1] Yerevan State Univ, Yerevan, Armenia
来源
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2025年 / 60卷 / 02期
关键词
Fourier series; Walsh system; Fourier coefficients; weighted space; convergence; RESPECT;
D O I
10.3103/S1068362325700013
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper discusses the question of the existence of universal functions whose Fourier series in the Walsh system are conditionally universal in the sense of permutations in all weighted spaces L-mu(p)[0,1], p >= 1.
引用
收藏
页码:96 / 103
页数:8
相关论文
共 22 条
[1]  
Birkhoff GD, 1929, CR HEBD ACAD SCI, V189, P473
[2]   On Walsh series with monotone coefficients [J].
Gevorkyan, GG ;
Navasardyan, KA .
IZVESTIYA MATHEMATICS, 1999, 63 (01) :37-55
[3]   On universal (in the sense of signs) Fourier series with respect to the Walsh system [J].
Grigoryan, M. G. .
SBORNIK MATHEMATICS, 2024, 215 (06) :717-742
[4]   On Universal Fourier Series in the Walsh System [J].
Grigoryan, M. G. .
SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (05) :868-882
[5]  
Grigoryan MG, 2021, IZV MATH+, V85, P241, DOI [10.1070/IM8964, 10.4213/im8964]
[6]   Functions with universal Fourier-Walsh series [J].
Grigoryan, M. G. .
SBORNIK MATHEMATICS, 2020, 211 (06) :850-874
[7]   On the universal function for the class LP[0,1], p ∈ (0,1) [J].
Grigoryan, M. G. ;
Sargsyan, A. A. .
JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (08) :3111-3133
[8]   On Fourier series that are universal modulo signs [J].
Grigoryan, Martin ;
Galoyan, Levon .
STUDIA MATHEMATICA, 2019, 249 (02) :215-231
[9]   ON THE UNIVERSAL FUNCTION FOR WEIGHTED SPACES Lμp[0,1], p ≥ 1 [J].
Grigoryan, Martin ;
Grigoryan, Tigran ;
Sargsyan, Artsrun .
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 12 (01) :104-125
[10]  
Groe-Erdmann K. G., 1987, Semin. Giessen, V176, P1