arXiv math/01021572001-02-20math.FA

On J-conservative scattering system realization in several variables

D. S. Kalyuzhniy-Verbovetzky

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英文摘要：

We prove that an arbitrary function, which is holomorphic on some neighbourhood of z=0 in $\mathbb{C}^N$ and vanishes at z=0, whose values are bounded linear operators mapping one separable Hilbert space into another one, can be represented as the transfer function of some multiparametric discrete time-invariant conservative scattering linear system with a Krein space of its inner states.

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