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On Realizations of Rational Matrix Functions of Several Complex Variables II

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Reproducing Kernel Spaces and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 143))

Abstract

0o. We use notations and definitions from the first part [Bes] of this work. If M is a matrix (whose entries are complex numbers), thenM’ is the transpose matrix, andM* is the Hermitian conjugate matrix. \({\mathbb{C}^n} = \mathbb{C} \times \cdots \times \mathbb{C}\) denotes the direct product of n copies of the complex plane \(\mathbb{C}\) \(z = \left( {{z_1}, \cdots,{z_n}} \right)\) denotes a point of \({\mathbb{C}^n}\)

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References

  1. Bessmertnyi, M.F.On realization of rational matrix functions of several complex variables,157–185 in:Interpolation Theory,System Theory and Related Topics (D. Alpay, I. Gohberg and V. Vinnikov — editors.) (Operator Theory. Advances and Applications:OT 134), Birkhäuser Verlag, Basel • Boston • Berlin, 2002.

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© 2003 Springer Basel AG

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Bessmertnyĭ, M.F. (2003). On Realizations of Rational Matrix Functions of Several Complex Variables II. In: Alpay, D. (eds) Reproducing Kernel Spaces and Applications. Operator Theory: Advances and Applications, vol 143. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8077-0_4

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  • DOI: https://doi.org/10.1007/978-3-0348-8077-0_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9430-2

  • Online ISBN: 978-3-0348-8077-0

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