关于重整化群方程数学结构的一个定理

A Theorem About the Mathematical Structure of Renormalization Group Equation

本文揭示了与迭代算子对易的算子集合在构造Ｆｅｉｇｅｎｂａｕｍ重整化群方程新解中的重要性。在线性连续的条件下证明了该集合结构的一个定理，并且给出了该定理在间歇重整化群方程中的应用。

In constructing new solutions of Feigenbaum renor- malization group equation, it is important to know which operator commutes with the iterative operator,This paper presents a theorem about the structure of the ab。ve set,and offers a method to construct new solutions of the intermittency renormalization group equation from peculiar one。