论文标题
关于无界雅各比矩阵的基本光谱
About essential spectra of unbounded Jacobi matrices
论文作者
论文摘要
我们研究具有定期调制或混合条目的无界Jacobi矩阵的光谱特性。我们的方法基于对广义特征向量的均匀渐近分析。我们确定研究的操作员何时是自我伴侣。我们确定点光谱没有积聚点的区域。这使我们能够完全描述这些操作员的基本范围。
We study spectral properties of unbounded Jacobi matrices with periodically modulated or blended entries. Our approach is based on uniform asymptotic analysis of generalized eigenvectors. We determine when the studied operators are self-adjoint. We identify regions where the point spectrum has no accumulation points. This allows us to completely describe the essential spectrum of these operators.
