论文标题
Angelesco Systems生成的树木上的Jacobi矩阵：系数和必需光谱的渐近学
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum
论文作者
论文摘要
我们继续研究在树上定义的雅各比矩阵与作者先前发现的多项式多项式（MOP）之间的联系。在本文中，我们考虑由两个分析权重形成的Angelesco系统，并获得沿所有方向（包括边际）的复发系数和强大的MOP的渐近渐近造物。然后将这些结果应用于表明相关的jacobi矩阵的基本频谱是正交间隔的结合。
We continue studying the connection between Jacobi matrices defined on a tree and multiple orthogonal polynomials (MOPs) that was discovered previously by the authors. In this paper, we consider Angelesco systems formed by two analytic weights and obtain asymptotics of the recurrence coefficients and strong asymptotics of MOPs along all directions (including the marginal ones). These results are then applied to show that the essential spectrum of the related Jacobi matrix is the union of intervals of orthogonality.
