Marchenko-Ostrovsky映射的Dirichlet特征值参数化
The parametrization of the Marchenko-Ostrovsky mapping in terms of the Dirichlet eigenvalues
摘要:
我们考虑了周期Jacobi矩阵的逆谱问题,其形式为准动量域上的垂直缝加上Dirichlet特征值,即,马琴科-奥斯特洛夫斯基映射此外,我们证明了Dirichlet特征值的梯度和所谓的赋范常数是线性无关的。
英文摘要:
We consider the inverse spectral problem for periodic Jacobi matrices in terms of the vertical slits on the quasi-momentum domain plus the Dirichlet eigenvalues, i.e., the Marchenko-Ostrovsky mapping. Moreover, we show that the gradients of the Dirichlet eigenvalues and of the so-called norming constants are linear independent.
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