向量函数空间上常微分算子的自伴扩张

On Selfadjoint Extensions of Ordinary Differential Operators in Vector-Function Space

本文首先给出定义在L_2向量函数空间上的奇异形式自伴微分表达式取最大亏指数以及取中间亏指数时最大算子域的构造定理,在此基础上得到了在相应情形下自伴扩张域的解析描述。

In the first place, we describe the structure of the maximum operator domains under the assumption that the singularly formal selfadjoint differential expressions L_2 vector-function spaces attain maximum deficiency indices on middle deficiency indices. Then on this basis, the analytical description of the corresponding self adjoint extension domains is obtained.