Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On analytic structure of weighted shifts on generalized directed
  semi-trees   Inspired by natural classes of examples, we define generalized directed
semi-tree and construct weighted shifts on the generalized directed semi-trees.
Given an $n$-tuple of directed directed semi-trees with certain properties, we
associate an $n$-tuple of multiplication operators on a Hilbert space
$\mathscr{H}^2(\beta)$ of formal power series.
  Under certain conditions, $\mathscr{H}^2(\beta)$ turns out to be a
reproducing kernel Hilbert space consisting of holomorphic functions on some
domain in $\mathbb C^n$ and the $n$-tuple of multiplication operators on
$\mathscr{H}^2(\beta)$ is unitarily equivalent to an $n$-tuple of weighted
shifts on the generalized directed semi-trees. Finally, we exhibit two classes
of examples of $n$-tuple of operators which can be intrinsically identified as
weighted shifts on generalized directed semi-trees.

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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga