论文标题
Selfadexhinexhindexhinders Schroedinger操作员在具有一般接口条件的星环上的频谱多重性
Spectral multiplicity of selfadjoint Schroedinger operators on star-graphs with general interface conditions
论文作者
论文摘要
我们考虑通过将有限数量的边界关系与一维边界空间粘贴在一起，从而获得了自我关节操作员。这样的操作员的一个典型例子是在星形图上具有有限数量有限或无限边缘的schrödinger操作员，并且在公共顶点处的界面条件。一类广泛的“自我偶相”界面条件被考虑在一个普遍满足的假设上。我们根据解耦运算符的光谱数据研究了奇异光谱（连续和点）光谱多样性的性质。
We consider selfadjoint operators obtained by pasting a finite number of boundary relations with one-dimensional boundary space. A typical example of such an operator is the Schrödinger operator on a star-graph with a finite number of finite or infinite edges and an interface condition at the common vertex. A wide class of "selfadjoint" interface conditions, subject to a assumption which is generically satisfied, is considered. We investigate properties of spectral multiplicity of singular spectrum (continuous as well as point) in terms of the spectral data of decoupled operators.
