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Finite gap Jacobi matrices: An announcement
Authors:Jacob S. Christiansen  Maxim Zinchenko
Affiliation:Mathematics 253-37, California Institute of Technology, Pasadena, CA 91125, United States
Abstract:We consider Jacobi matrices whose essential spectrum is a finite union of closed intervals. We focus on Szeg?’s theorem, Jost solutions, and Szeg? asymptotics for this situation. This announcement describes talks the authors gave at OPSFA 2007.
Keywords:primary, : 47B36, 42C05   secondary, : 47A10, 30F35
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