Convergence of double Fourier series of functions from symmetric spaces

被引：0

作者：

G. A. Akishev

机构：

[1] Karaganda State University,

来源：

Mathematical Notes | 2007年 / 81卷

关键词：

double Fourier series; trigonometric system of functions; 2π-periodic function; symmetric space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish conditions for the convergence of double Fourier series in the trigonometric system of functions belonging to a symmetric space.

引用

页码：287 / 290

页数：3

共 50 条

[1] Convergence of double Fourier series of functions from symmetric spaces
Akishev, G. A.
MATHEMATICAL NOTES, 2007, 81 (3-4) : 287 - 290
[2] Rate of convergence of double Fourier series of functions of generalized bounded variation
Rameshbhai Karshanbhai Bera
Bhikha Lila Ghodadra
Acta Scientiarum Mathematicarum, 2022, 88 : 723 - 737
[3] Rate of convergence of double Fourier series of functions of generalized bounded variation
Bera, Rameshbhai Karshanbhai
Ghodadra, Bhikha Lila
ACTA SCIENTIARUM MATHEMATICARUM, 2022, 88 (3-4): : 723 - 737
[4] Complementary spaces and multipliers of double Fourier series for functions of bounded variation
Baron, S
Liflyand, E
Stadtmüller, U
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 250 (02) : 706 - 721
[5] Fourier Series on Compact Symmetric Spaces: K-Finite Functions of Small Support
Olafsson, Gestur
Schlichtkrull, Henrik
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2010, 16 (04) : 609 - 628
[6] Fourier Series on Compact Symmetric Spaces: K-Finite Functions of Small Support
Gestur Ólafsson
Henrik Schlichtkrull
Journal of Fourier Analysis and Applications, 2010, 16 : 609 - 628
[7] Symmetric convergence of double series whose coefficients are the quotients of divisions of complex Fourier coefficients by their indexes
Dzagnidze, Omar
GEORGIAN MATHEMATICAL JOURNAL, 2017, 24 (04) : 507 - 516
[8] On the Absolute Convergence of Double Fourier Series of Uniform Almost Periodic Functions in a Uniform Metric
Talbakov, F. M.
RUSSIAN MATHEMATICS, 2023, 67 (04) : 56 - 65
[9] On the Absolute Convergence of Double Fourier Series of Uniform Almost Periodic Functions in a Uniform Metric
F. M. Talbakov
Russian Mathematics, 2023, 67 : 56 - 65
[10] Absolute Convergence of the Double Fourier-Franklin Series
G. G. Gevorkyan
M. G. Grigoryan
Siberian Mathematical Journal, 2020, 61 : 403 - 416

← 1 2 3 4 5 →