具两奇异端点的对称微分算子的自伴域

The Domains of Self-adjoint Extensions of Ordinary Symmetric Differential Operators with Two Singular end Points

本文首先给出了由对称微分算式生成的最大算子域的构造定理,在此基础上得到了具两奇异端点的对称微分算子自伴扩张的解析描述。

A decomposition theorem on the domain of maximal operator generated by symmetric differential expression is proved firstly. Then using this theorem we obtain the complete characterization of all self-adjoint extensions of n-th order symmetric differential operators with two singular end points.