Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ultraholomorphic sectorial extensions of Beurling type   We prove sectorial extension theorems for ultraholomorphic function classes
of Beurling type defined by weight functions with a controlled loss of
regularity. The proofs are based on a reduction lemma, due to the second
author, which allows to extract the Beurling from the Roumieu case, which was
treated recently by Jim\'{e}nez-Garrido, Sanz, and the third author. In order
to have control on the opening of the sectors, where the extensions exist, we
use the (mixed) growth index and the order of quasianalyticity of weight
functions. As a consequence we obtain corresponding extension results for
classes defined by weight sequences. Additionally, we give information on the
existence of continuous linear extension operators.

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The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph