Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transfer-function realization for multipliers of the Arveson space   An interesting and recently much studied generalization of the classical
Schur class is the class of contractive operator-valued multipliers for the
reproducing kernel Hilbert space ${\mathcal H}(k_{d})$ on the unit ball
${\mathbb B}^{d} \subset {\mathbb C}^{d}$, where $k_{d}$ is the positive kernel
$k_{d}(\lambda, \zeta) = 1/(1 - < \lambda, \zeta >)$ on ${\mathbb B}^{d}$. We
study this space from the point of view of realization theory and functional
models of de Branges-Rovnyak type. We highlight features which depart from the
classical univariate case: coisometric realizations have only partial
uniqueness properties, the nonuniqueness can be described explicitly, and this
description assumes a particularly concrete form in the functional-model
context.

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The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics