Finite gap Jacobi matrices: An announcement

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摘要

We consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. We focus on Szegő’s theorem, Jost solutions, and Szegő asymptotics for this situation. This announcement describes talks the authors gave at OPSFA 2007.

论文关键词：primary,: 47B36,42C05,secondary,: 47A10,30F35,Finite gap Jacobi matrices,Isospectral torus,Szegő’s theorem,Szegő asymptotics,Jost function

论文评审过程：Received 23 October 2007, Available online 28 February 2009.

论文官网地址：https://doi.org/10.1016/j.cam.2009.02.081