Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surjectivity of the asymptotic Borel map in Carleman-Roumieu
  ultraholomorphic classes defined by regular sequences   We study the surjectivity of, and the existence of right inverses for, the
asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by
regular sequences in the sense of E. M. Dyn'kin. We extend previous results by
J. Schmets and M. Valdivia, by V. Thilliez, and by the authors, and show the
prominent role played by an index associated with the sequence and introduced
by Thilliez. The techniques involve regular variation, integral transforms and
characterization results of A. Debrouwere in a half-plane, steming from his
study of the surjectivity of the moment mapping in general Gelfand-Shilov
spaces.

3
The categories of this paper are: physics
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th