Factorization of a class of 2 x 2 matrix symbols by reduction to a scalar factorization

被引：0

作者：

Bastos, M. A. ^{[1
]}

Lopes, P. A. ^{[1
]}

dos Santos, A. F. ^{[1
]}

机构：

[1] Univ Lisbon, Inst Super Tecn, Dept Math, P-1049001 Lisbon, Portugal

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2018年 / 83卷 / 01期

关键词：

Riemann-Hilbert problems; factorization; integrable systems;

D O I：

10.1093/imamat/hxx036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the reduction of a vector Riemann-Hilbert problem on the unit circle to a scalar problem on a contour in a Riemann surface, a factorization method for a class of symbols is described. The class of symbols involves outer functions and rational functions of the square root of a quotient of first degree polynomials. An application to a problem in the field of integrable systems of infinite dimension is presented.

引用

页码：92 / 105

页数：14

共 24 条

[1] Factorization of a class of symbols with outer functions
dos Santos, Antonio F.
dos Santos, Pedro F.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 413 (01) : 185 - 194
[2] Almost Periodic Factorization of 2 x 2 Triangular Matrix Functions: New Cases of Off Diagonal Spectrum
Rastogi, Ashwin
Rodman, Leiba
Spitkovsky, Ilya M.
TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1, 2010, 202 : 469 - +
[3] Approximate factorization for a class of second-order matrix functions
Kiyasov S.N.
Lobachevskii Journal of Mathematics, 2017, 38 (6) : 1131 - 1145
[4] Loops in SU(2) and factorization
Pickrell, Doug
JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 260 (08) : 2191 - 2221
[5] The factorization of f(x)xn + g(x) with f(x) monic and of degree ≤ 2
Harrington, Joshua
Vincent, Andrew
White, Daniel
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2013, 25 (03): : 565 - 578
[6] Approximate Factorization for One Class of Second-Order Matrix Functions
Kiyasov, S. N.
UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI, 2016, 158 (04): : 511 - 529
[7] A Class of Holder Matrix Functions of the Second Order Admitting Effective Factorization
Kiyasov, S. N.
RUSSIAN MATHEMATICS, 2022, 66 (10) : 56 - 61
[8] A Class of Hölder Matrix Functions of the Second Order Admitting Effective Factorization
S. N. Kiyasov
Russian Mathematics, 2022, 66 : 56 - 61
[9] Complete Factorization of the 2m-Band Paraunitary Polyphase Matrix with Multiple Centers of Symmetry
Guoqiu Wang
Yong Chen
Dingxun Yi
Circuits, Systems, and Signal Processing, 2020, 39 : 2533 - 2549
[10] Loops in SU(2), Riemann Surfaces, and Factorization, I
Basor, Estelle
Pickrell, Doug
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2016, 12

← 1 2 3 →