论文标题
六阶Krall差异表达的新光谱分析
A New Spectral Analysis of the Sixth-order Krall Differential Expression
论文作者
论文摘要
在本文中，我们构建了一个由六阶Krall差异表达在扩展的希尔伯特空间L^2（-1,1） + C^2中产生的自动化算子t。为了获得T，我们采用了一种新的通用理论，即LittleJohn和Wellman最近开发的所谓GKN-EM理论，该理论使用Everitt和Markus开发的复杂的符号几何方法扩展了古典Glazman-Krein-Naimark理论。这项工作扩展了Littlejohn和Loveland对Krall表达的早期研究。
In this paper, we construct a self-adjoint operator T generated by the sixth-order Krall differential expression in the extended Hilbert space L^2(-1,1) + C^2. To obtain T, we apply a new general theory, the so-called GKN-EM theory, developed recently by Littlejohn and Wellman that extends the classical Glazman-Krein-Naimark theory using a complex symplectic geometric approach developed by Everitt and Markus. This work extends earlier studies of the Krall expression by both Littlejohn and Loveland.
