A new higher order chain rule and Gevrey class
A new higher order chain rule and Gevrey class
复制标题
新的高阶链式法则和 Gevrey 级
DOI：
10.1007/bf00128298
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发表时间：
1989
影响因子：
0.7
通讯作者：
T. Yamanaka
中科院分区：
文献类型：
--
作者：
T. Yamanaka
给出了普通函数意义上和 Fréchet 导数意义上的新的高阶链式法则。它被用来证明 Gevrey 映射的复合映射又是 Gevrey。在Gevrey映射的框架下还给出了逆映射定理等。
A new higher order chain rule both in the sense of ordinary functions and in the sense of Fréchet derivatives is given. It is applied to prove that a composite map of Gevrey maps is again Gevrey. An inverse map theorem etc. are also given in the framework of Gevrey maps.