Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compressed resolvents of selfadjoint contractive extensions with exit
  and holomorphic operator-functions associated with them   Contractive selfadjoint extensions of a Hermitian contraction $B$ in a
Hilbert space ${\mathfrak H}$ with an exit in some larger Hilbert space
${\mathfrak H}\oplus{\mathcal H}$ are investigated. This leads to a new
geometric approach for characterizing analytic properties of holomorphic
operator-valued functions of Kre\u{i}n-Ovcharenko type, a class of functions
whose study has been recently initiated by the authors. Compressed resolvents
of such exit space extensions are also investigated leading to some new
connections to transfer functions of passive discrete-time systems and related
classes of holomorphic operator-valued functions.

14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg