Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618003 | Journal of Mathematical Analysis and Applications | 2011 | 9 Pages |
Abstract
Some inverse problems for semi-infinite periodic generalized Jacobi matrices are considered. In particular, a generalization of the Abel criterion is presented. The approach is based on the fact that the solvability of the Pell–Abel equation is equivalent to the existence of a certainly normalized J-unitary 2×2-matrix polynomial (the monodromy matrix).
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