The parametrization of the Marchenko-Ostrovsky mapping in terms of the Dirichlet eigenvalues

Details The parametrization of the Marchenko-Ostrovsky mapping in terms of the Dirichlet eigenvalues The parametrization of the Marchenko-Ostrovsky mapping in terms of the Dirichlet eigenvalues

2008-01-05

arxiv.org/abs/0801.0807v1

Mathematics

Spectral Theory

Scientific paper

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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