Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiparametric Dissipative Linear Stationary Dynamical Scattering
  Systems: Discrete Case   We propose the new generalization of linear stationary dynamical systems with
discrete time $t\in\mathbb{Z}$ to the case $t\in\nspace{Z}{N}$. The dynamics of
such a system can be reproduced by means of its associated multiparametric
Lax-Phillips semigroup. We define multiparametric passive, and conservative
scattering systems and interpret them in terms of operator colligations, of the
associated semigroup and of "energetic" relations for system data. We prove the
Agler's type theorem describing the class of holomorphic operator-valued
functions on the polydisc $\nspace{D}{N}$ that are the transfer functions of
multiparametric conservative scattering systems.
  Keywords: Passive systems, multiparametric Lax-Phillips semigroup,
generalized Schur class, conservative realizations

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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex