A Class of Matrix-Valued Schrödinger Operators with Prescribed Finite-Band Spectra

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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.
LaTeX, 36 pages

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Spectral Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/62883

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112132
 http://arxiv.org/abs/math/0112132

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arXiv