周期Jacobi矩阵的Marchenko-Ostrovski映射
Marchenko-Ostrovski mappings for periodic Jacobi matrices
摘要：
我们考虑一维周期Jacobi矩阵。这个算子的谱是纯绝对连续的，并且由间隔隔开的区间组成。我们解决的逆问题（包括表征）的垂直狭缝的准动量域。此外，我们得到了先验的双边估计的垂直狭缝的的crossby矩阵。
英文摘要：
We consider the 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 characterization) in terms of vertical slits on the quasimomentum domain . Furthermore, we obtain a priori two-sided estimates for vertical slits in terms of Jacoby matrices.
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