On J-conservative scattering system realization in several variables

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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.
LaTeX, 16 pages

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Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/60973

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0102157
 http://arxiv.org/abs/math/0102157

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arXiv