论文标题
一般超平优化类中的Kotake-Narasimhan定理
The Kotake-Narasimhan Theorem in general ultradifferentiable classes
论文作者
论文摘要
我们证明了由重量矩阵给出的一般超平优化类中的Kotake-Narasimhan型定理。这样一来,我们同时恢复并部分概括了由权重序列和权重功能给出的类别的已知结果。特别是,我们获得了一个尖锐的Kotake-Narasimhan定理,用于Beurling类别。
We prove a Kotake-Narasimhan type theorem in general ultradifferentiable classes given by weight matrices. In doing so we simultaneously recover and partially generalize the known results for classes given by weight sequences and weight functions. In particular, we obtain a sharp Kotake-Narasimhan theorem for Beurling classes.