TRUNCATED WIENER-HOPF EQUATION AND MATRIX FUNCTION FACTORIZATION

被引：1

作者：

Voronin, A. F. ^{[1
]}

机构：

[1] Sobolev Inst Math, 4 Koptyuga Ave, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2020年 / 17卷

关键词：

Riemann boundary value problems; factorization of matrix functions; partial indices; stability; unique; convolution equation; truncated Wiener-Hopf equation;

D O I：

10.33048/semi.2020.17.090

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We will study relationship between a convolution equation of second kind on a finite interval and the Riemann -Hilbert boundary value problems. In addition, as a consequence of the results obtained in the work, Theorem 2 of the following article will be supplemented [3].

引用

页码：1217 / 1226

页数：10

共 50 条

[1] FACTORIZATION OF A WIENER-HOPF MATRIX
JONES, DS
IMA JOURNAL OF APPLIED MATHEMATICS, 1984, 32 (1-3) : 211 - 220
[2] MATRIX WIENER-HOPF FACTORIZATION
RAWLINS, AD
WILLIAMS, WE
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1981, 34 (FEB): : 1 - 8
[3] On the Relationship Between the Factorization Problem in the Wiener Algebra and the Truncated Wiener-Hopf Equation
Voronin, A. F.
RUSSIAN MATHEMATICS, 2020, 64 (12) : 20 - 28
[4] SOME QUESTIONS ON THE RELATIONSHIP OF THE FACTORIZATION PROBLEM OF MATRIX FUNCTIONS AND THE TRUNCATED WIENER-HOPF EQUATION IN THE WIENER ALGEBRA
Voronin, A. F.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2021, 18 (02): : 1615 - 1624
[5] A NOTE ON WIENER-HOPF MATRIX FACTORIZATION
RAWLINS, AD
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1985, 38 (AUG): : 433 - 437
[6] COMMUTATIVE WIENER-HOPF FACTORIZATION OF A MATRIX
JONES, DS
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1984, 393 (1804): : 185 - 192
[7] WIENER-HOPF FACTORIZATION OF PIECEWISE MATRIX POLYNOMIALS
GOHBERG, I
LERER, L
RODMAN, L
LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 52-3 (JUL) : 315 - 350
[8] ON WIENER-HOPF FACTORIZATION OF MEROMORPHIC MATRIX FUNCTIONS
ADUKOV, VM
INTEGRAL EQUATIONS AND OPERATOR THEORY, 1991, 14 (06) : 767 - 774
[9] THE EXPLICIT WIENER-HOPF FACTORIZATION OF A SPECIAL MATRIX
RAWLINS, AD
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1981, 61 (10): : 527 - 528
[10] On the factorization of matrix and operator Wiener-Hopf integral equations
Engibaryan, N. B.
IZVESTIYA MATHEMATICS, 2018, 82 (02) : 273 - 282

← 1 2 3 4 5 →