Linearization of germs: regular dependence on the multiplier
摘要
We prove that the linearization of a germ of holomorphic map of the type F (z) = (z + O(z 2 )) has a C 1 -holomorphic dependence on the multiplier . C 1holomorphic functions are C 1 -Whitney smooth functions, defined on compact subsets and which belong to the kernel of the operator.
引用本文(GB/T 7714)
Stefano Marmi, Carlo Carminati. Linearization of germs: regular dependence on the multiplier[J]. Bulletin de la Société mathématique de France, 2008.
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