The Bitangential Inverse Input Impedance Problem for Canonical Systems, II: Formulas and Examples |
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Authors: | Damir Z Arov Harry Dym |
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Institution: | (1) Department of Mathematics, South-Ukranian Pedagogical University, 65020 Odessa, Ukraine;(2) Department of Mathematics, The Weizmann Institute of Science, Rehovot, 76100, Israel |
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Abstract: | This paper continues the study of the bitangential inverse input impedance problem for canonical integral systems that was initiated in ArD6]. The problem is to recover the system, given an input impedance matrix valued function c( ) (that belongs to the Carathéodory class of p × p matrix valued functions that are holomorphic and have positive real part in the open upper half plane) and a chain of pairs
of entire inner p × p matrix valued functions (that are identified with the associated pairs of the second kind of the matrizant of the system). Formulas for recovering the underlying canonical integral systems are derived by reproducing kernel Hilbert space methods. A number of examples are presented. Special attention is paid to the case when c( ) is of Wiener class and also when it is both of Wiener class and rational. |
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Keywords: | Primary 34A55 45Q05 47B32 Secondary 46E22 30E05 |
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