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Factorization of transfer functions. I. (+).regular factorization

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Abstract

In the first part of the paper the concept of (+).regular factorization is generalized to the case of n factors.THEOREM 1. The factorization Θ=ΘnΘn−1...Θ1, is (+).regular

where χ (Θk) is the Sz.-Nagy-Foias space. A criterion for the preservation of minimality under the synthesis of conservative scattering systems is obtained.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 312–317, March, 1990.

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Khan', D.K. Factorization of transfer functions. I. (+).regular factorization. Ukr Math J 42, 279–282 (1990). https://doi.org/10.1007/BF01057009

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  • DOI: https://doi.org/10.1007/BF01057009

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