Finite gap Jacobi matrices: An announcement |
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Authors: | Jacob S. Christiansen Maxim Zinchenko |
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Affiliation: | Mathematics 253-37, California Institute of Technology, Pasadena, CA 91125, United States |
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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. |
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Keywords: | primary, : 47B36, 42C05 secondary, : 47A10, 30F35 |
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