混合背景下的超全纯扩张定理
Ultraholomorphic extension theorems in the mixed setting
摘要：
本文的目的是将V.Thilliez在权序列设置下的超全纯扩张定理和作者在（Roumieu型）权函数设置下的超全纯扩张定理推广到一个混合框架中.这样的混合结果已经为超可微类所知，它们有超全纯对应物似乎是自然的。为了有控制的开放部门的黎曼曲面的对数的扩展定理是有效的，我们正在引入新的混合增长指数，这是推广已知的重量序列和功能。事实证明，对于混合扩展结果的有效性，所谓的准解析性顺序（由第二作者介绍的权重序列）变得重要。
英文摘要：
The aim of this work is to generalize the ultraholomorphic extension theorems from V. Thilliez in the weight sequence setting and from the authors in the weight function setting (of Roumieu type) to a mixed framework. Such mixed results have already been known for ultradifferentiable classes and it seems natural that they have ultraholomorphic counterparts. In order to have control on the opening of the sectors in the Riemann surface of the logarithm for which the extension theorems are valid we are introducing new mixed growth indices which are generalizing the known ones for weight sequences and functions. As it turns out, for the validity of mixed extension results the so-called order of quasianalyticity (introduced by the second author for weight sequences) is becoming important.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
