论文标题

雅各比矩阵与腔谱

Jacobi matrices with lacunary spectrum

论文作者

Losev, Ilya

论文摘要

我们发现在某些额外的生长条件下,雅各比矩阵的条目渐近级别。我们还证明了逆结果。此外,我们研究了雅各比矩阵,规范系统和de branges空间之间的连接

We find asymptotics of entries of Jacobi matrices with lacunary spectral data under some additional growth conditions. We also prove the inverse results. In addition, we study connections between Jacobi matrices, canonical systems and de Branges spaces for lacunary spectral data

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