Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extension operators for some ultraholomorphic classes defined by
  sequences of rapid growth   While the asymptotic Borel mapping, sending a function into its series of
asymptotic expansion in a sector, is known to be surjective for arbitrary
openings in the framework of ultraholomorphic classes associated with sequences
of rapid growth, there is no general procedure to construct extension operators
in this case. We do provide such operators in complex sectors for some
particular classes considered by S.~Pilipovi{\'c}, N.~Teofanov and F.~Tomi{\'c}
in the ultradifferentiable setting. Although these classes are, in their words,
"beyond Gevrey regularity", in some cases they keep the property of stability
under differentiation, which is crucial for our technique, based on formal
Borel- and truncated Laplace-like transforms with suitable kernels.

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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas