Ф-Factorization of Triangular Matrix Functions and Reducible to Them

Georgii S. Litvinchuk, Ilia M. Spitkovskii · Operator theory · 1987

If it is known that the scalar function G can be factored in L p with index ϰ, then its factorization may be constructed effectively. Let us explain this in more detail, assuming for the sake of simplicity the contour Γ to be connected. From the representation (3.20) with suitable selection of arg G(t), we obtain where the functions ln G ± are determined up to a constant summand. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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