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math.CV2022★ 7 cited
Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
We construct optimal flat functions in Carleman-Roumieu ultraholomorphic classes associated to general strongly nonquasianalytic weight sequences, and defined on sectors of suitabl…
math.FA2022
Extension operators for some ultraholomorphic classes defined by sequences of rapid growth
Javier Jiménez-Garrido, Alberto Lastra, Javier Sanz
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 ult…