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Factorization of Matrix Functions

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The report is devoted to the survey of recent results in the area of Wiener-Hopf factorization (or, simply, factorization) of matrix functions.

Such factorization means representation of a matrix function given on a closed curve on the complex plane in form of the product of three items (first, analytically continued into the inner domain, third, analytically continued into the outer domain, and the middle term being a diagonal matrix with power-type monomials).

Preliminary information on the subject will be given. Main attention will be paid to constructive methods. The range of known application will be described.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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