Factorization of meromorphic matrix functions.

Autor: Amirjanyan, H., Kamalyan, A.
Zdroj: Journal of Contemporary Mathematical Analysis; Dec2007, Vol. 42 Issue 6, p303-319, 17p
Abstrakt: The paper considers a class of matrix-functions defined on some contour in the complex plane that have meromorphic continuations in the interior or exterior domain of that contour. These matrix-functions generally do not admit Wiener-Hopf standard factorization. The paper studies the problem of index factorization, which is a version of Wiener-Hopf factorization. Some criterions for index factorization and exact formulas for particular indices are found along with a constructive method which applies the factorization to solution of an explicit, finite system of linear algebraic equations. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index