@article{10902/24522,
year = {2021},
month = {10},
url = {http://hdl.handle.net/10902/24522},
abstract = {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, that was introduced by V. Thilliez. The techniques involve regular variation, integral transforms and characterization results of A. Debrouwere in a half-plane, stemming from his study of the surjectivity of the moment mapping in general Gelfand?Shilov spaces.},
organization = {The first two authors are partially supported by the Spanish Ministry of Economy, Industry and
Competitiveness under the project MTM2016-77642-C2-1-P, and by the Spanish Ministry of Science and
Innovation under the project PID2019-105621GB-I00. The third author is supported by FWF-Projects P32905-
N and P33417-N},
publisher = {Springer},
publisher = {Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2021, 115 (4), 181},
title = {Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences},
author = {Jiménez Garrido, Jesús Javier and Sanz Gil, Francisco Javier and Schindl, G.},
}