Titlebook: Topics in Interpolation Theory of Rational Matrix-valued Functions; I. Gohberg Book 1988 Springer Basel AG 1988 Blaschke product.function.

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Regular Rational Matrix Functions with Prescribed Pole and Zero Structure,The problem to construct all regular rational matrix functions with a prescribed pole and zero structure is solved explicitly. Also the necessary and sufficient condition for the existence of a solution is derived. The proofs use an appropriate Möbius transformation to reduce the problem to the case when the functions are regular at infinity.

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