Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the generation of Beurling type Carleman ultradifferentiable
  $C_0$-semigroups by scalar type spectral operators   A characterization of the scalar type spectral generators of Beurling type
Carleman ultradifferentiable $C_0$-semigroups is established, the important
case of the Gevrey ultradifferentiability is considered in detail, the
implementation of the general criterion corresponding to a certain rapidly
growing defining sequence is observed.

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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph