Wiener-Hopf factorization of piecewise meromorphic matrix-valued functions

Journal Article · Mon Aug 31 04:00:00 EDT 2009 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2009V200N08ABEH004030; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21301527

Adukov, Victor M ^[1]

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1. South Ural State University, Chelyabinsk (Russian Federation)

Let D{sup +} be a multiply connected domain bounded by a contour {gamma}, let D{sup -} be the complement of D{sup +} union {gamma} in C-bar=C union {l_brace}{infinity}{r_brace}, and a(t) be a continuous invertible matrix-valued function on {gamma} which can be meromorphically extended into the open disconnected set D{sup -} (as a piecewise meromorphic matrix-valued function). An explicit solution of the Wiener-Hopf factorization problem for a(t) is obtained and the partial factorization indices of a(t) are calculated. Here an explicit solution of a factorization problem is meant in the sense of reducing it to the investigation of finitely many systems of linear algebraic equations with matrices expressed in closed form, that is, in quadratures. Bibliography: 15 titles.

• OSTI ID: 21301527
• Journal Information: Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 8 Vol. 200; ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
99 GENERAL AND MISCELLANEOUS
EQUATIONS
FACTORIZATION
FUNCTIONS
MATHEMATICAL SOLUTIONS
MATRICES
QUADRATURES