论文标题
雅各比操作员的逆问题，具有有限支持的扰动
Inverse problems for Jacobi operators with finitely supported perturbations
论文作者
论文摘要
我们在半晶格上解决了雅各比操作员的逆问题，特别是在共鸣方面，尤其是有限支持的扰动。我们的证明是基于特定有限雅各比矩阵和多项式理论的逆特征值问题的结果。我们确定了真实和复杂共振的共振和最大可能的多样性的禁止域。
We solve the inverse problem for Jacobi operators on the half lattice with finitely supported perturbations, in particular, in terms of resonances. Our proof is based on the results for the inverse eigenvalue problem for specific finite Jacobi matrices and theory of polynomials. We determine forbidden domains for resonances and maximal possible multiplicities of real and complex resonances.
