ON BASICITY OF AN EXPONENTIAL SYSTEM WITH A DISCONTINUOUS PHASE IN THE SOBOLEV SPACE OF PIECEWISE DIFFERENTIABLE FUNCTIONS

被引：0

作者：

Salmanov, Valid F. ^{[1
]}

Mirzoyev, Vidadi S. ^{[2
]}

Nuriyeva, Seadet A. ^{[3
]}

机构：

[1] Azerbaijan State Oil & Ind Univ, Baku, Azerbaijan

[2] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan

[3] Azerbaijan Tourism & Management Univ, Baku, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2019年 / 45卷 / 02期

关键词：

basicity; exponential system Sobolev space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An exponential system with a piecewise linear phase is considered. Necessary and sufficient conditions for basicity of this system in the Sobolev space of piecewise differentiable functions are found.

引用

页码：311 / 318

页数：8

共 39 条

[1] Basicity of the System of Exponents with a Linear Phase in Sobolev Weight Space
Muradov, Togrul
Salmanov, Valid
JOURNAL OF MATHEMATICS, 2014, 2014
[2] INFINITELY DIFFERENTIABLE DISCONTINUOUS FUNCTIONS ON SPACE D'
SMOLYANOVA, MO
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1993, (01): : 49 - 52
[3] Quantization of the Sobolev space of half-differentiable functions
Sergeev, A. G.
SBORNIK MATHEMATICS, 2016, 207 (10) : 1450 - 1457
[4] On basicity of perturbed exponential system with piecewise linear phase in Morrey-type spaces
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Muradov, Togrul
Seyidova, Fidan
AFRIKA MATEMATIKA, 2021, 32 (1-2) : 151 - 166
[5] On basicity of perturbed exponential system with piecewise linear phase in Morrey-type spaces
Bilal Bilalov
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Fidan Seyidova
Afrika Matematika, 2021, 32 : 151 - 166
[6] The Sobolev space of half-differentiable functions and quasisymmetric homeomorphisms
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GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (04) : 615 - 622
[7] Quantization of the Sobolev Space of Half-Differentiable Functions, II
Sergeev, A. G.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2019, 26 (03) : 401 - 405
[8] Quantization of the Sobolev Space of Half-Differentiable Functions, II
A. G. Sergeev
Russian Journal of Mathematical Physics, 2019, 26 : 401 - 405
[9] On the basicity of trigonometric systems with a linear phase in a weighted Sobolev space
T. R. Muradov
V. F. Salmanov
Doklady Mathematics, 2014, 90 : 611 - 612
[10] On the basicity of trigonometric systems with a linear phase in a weighted Sobolev space
Muradov, T. R.
Salmanov, V. F.
DOKLADY MATHEMATICS, 2014, 90 (02) : 611 - 612

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