Carleman超全纯类中通过逼近阶的平坦函数
Flat functions in Carleman ultraholomorphic classes via proximate orders
摘要：
当Carleman超全纯类的定义列（在H. Komatsu）是强正则的，并与一个近似的顺序，平坦的功能被构造在类的最佳开放的部门。作为结果，我们得到类似的Borel-Ritt-Gevrey定理和沃森引理在这种一般情况下。
英文摘要：
Whenever the defining sequence of a Carleman ultraholomorphic class (in the sense of H. Komatsu) is strongly regular and associated with a proximate order, flat functions are constructed in the class on sectors of optimal opening. As consequences, we obtain analogues of both Borel-Ritt-Gevrey theorem and Watson's lemma in this general situation.
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。
