论文标题
Hadamard产品和复兴理论
Hadamard Product and Resurgence Theory
论文作者
论文摘要
我们讨论了与Ecalle的复苏理论有关的假设下的两个骨膜功能的Hadamard产品的分析延续，这证明，如果这两个因素都可以通过规定的单数点$ A $ A和$ B $的规定延续，那么他们的Hadamard产品与Hadamard相对于集合$ \ \ \ \ {0 \ {0 \ \ cub cub cub cub cdot。在经典Hadamard定理的概括中，考虑了Hadamard产品的多相分析延续的所有分支。
We discuss the analytic continuation of the Hadamard product of two holomorphic functions under assumptions pertaining to Ecalle's Resurgence Theory, proving that if both factors are endlessly continuable with prescribed sets of singular points $A$ and $B$, then so is their Hadamard product with respect to the set $\{0\}\cup A \cdot B$. In this generalization of the classical Hadamard Theorem, all the branches of the multivalued analytic continuation of the Hadamard product are considered.
