Marchenko-Ostrovski mappings for periodic Jacobi matrices

被引：3
作者：
Korotyaev, E. [1 ]
Kutsenko, A. [2 ]
机构：
[1] Humboldt Univ, Math Inst, D-12489 Berlin, Germany
[2] St Petersburg State Univ, Fac Math & Mech, St Petersburg, Russia
来源：
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 14卷 / 04期
关键词：
D O I：
10.1134/S1061920807040115
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider 1D periodic Jacobi matrices. The spectrum of this operator is purely absolutely continuous and consists of intervals separated by gaps. We solve the inverse problem (including a characterization) in terms of vertical slits on the quasimomentum domain. Furthermore, we obtain a priori two-sided estimates for vertical slits in terms of Jacobi matrices.
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页码：448 / 452
页数：5
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