Injectivity and surjectivity of the asymptotic Borel map in Carleman ultraholomorphic classes

Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl

We study the injectivity and surjectivity of the Borel map in three instances: in Roumieu-Carleman ultraholomorphic classes in unbounded sectors of the Riemann surface of the logar…