A Class of Matrix-valued Schrödinger Operators with Prescribed Finite-band Spectra

نویسنده

  • FRITZ GESZTESY
چکیده

We construct a class of matrix-valued Schrödinger operators with prescribed finite-band spectra of maximum spectral multiplicity. The corresponding matrix potentials are shown to be stationary solutions of the KdV hierarchy. The methods employed in this paper rely on matrix-valued Herglotz functions, Weyl–Titchmarsh theory, pencils of matrices, and basic inverse spectral theory for matrix-valued Schrödinger operators.

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تاریخ انتشار 2003