Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dilation theory and analytic model theory for doubly commuting sequences
  of $C_{.0}$-contractions   Sz.-Nagy and Foias proved that each $C_{\cdot0}$-contraction has a dilation
to a Hardy shift and thus established an elegant analytic functional model for
contractions of class $C_{\cdot0}$. This has motivated lots of further works on
model theory and generalizations to commuting tuples of
$C_{\cdot0}$-contractions. In this paper, we focus on doubly commuting
sequences of $C_{\cdot0}$-contractions, and establish the dilation theory and
the analytic model theory for these sequences of operators. These results are
applied to generalize the Beurling-Lax theorem and Jordan blocks in the
multivariable operator theory to the operator theory in countably infinitely
many variables.

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol