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Published in:
2007 | OriginalPaper | Chapter
Asymmetric Factorizations of Matrix Functions on the Real Line
Authors : L. P. Castro, R. Duduchava, F. -O. Speck
Published in: Modern Operator Theory and Applications
Publisher: Birkhäuser Basel
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We indicate a criterion for some classes of continuous matrix functions on the real line with a jump at infinity to admit both, a classical right and an asymmetric factorization. It yields the existence of generalized inverses of matrix Wiener-Hopf plus Hankel operators and provides precise information about the asymptotic behavior of the factors at infinity and of the solutions to the corresponding equations at the origin.