正则系统上De Branges定理的另一种证明
An Alternate Proof of De Branges Theorem on Canonical Systems
摘要：
本文的目的是证明，在极限圆的情况下，由正则系统导出的对称关系的亏损指数在C上是常数。这提供了De Branges定理的另一种证明，即tr H（x）=1的正则系统隐含极限点的情况。为此，我们讨论了正则系统诱导的线性关系的谱理论。
英文摘要：
The aim of this paper is to show that, in the limit circle case, the defect index of a symmetric relation induced by canonical systems, is constant on C. This provides an alternative proof of the De Branges theorem that the canonical systems with tr H(x)=1 imply the limit point case. To this end, we discuss the spectral theory of a linear relation induced by a canonical system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
