论文标题
Carleman-Roumieu Ultraholomormormormormorthic类在定义的常规序列中的渐近骨图的溢流性
Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences
论文作者
论文摘要
我们研究了Carleman-Roumieu超核形态类中的渐近骨图的溢流和右对的溢流性和存在，这些图在E. M. Dyn'kin的意义上是由常规序列定义的。我们扩展了J. Schmets和M. Valdivia，V。Thilliez以及作者的先前结果，并显示了与序列相关的索引和Thilliez引入的索引所起的重要作用。这些技术涉及在半平面中进行的定期变化，整体变换和表征结果，这是由于他研究了Gelfand-Shilov一般的矩映射的溢流性。
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.
