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

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dc.creatorGesztesy, Fritz
dc.creatorSakhnovich, Lev A.
dc.date2001-12-12
dc.date.accessioned2026-07-07T04:45:14Z
dc.date.available2026-07-07T04:45:14Z
dc.descriptionWe 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.
dc.descriptionLaTeX, 36 pages
dc.identifierhttps://arxiv.org/abs/math/0112132
dc.identifierhttp://arxiv.org/abs/math/0112132
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62883
dc.subjectSpectral Theory
dc.titleA Class of Matrix-Valued Schrödinger Operators with Prescribed Finite-Band Spectra
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