 01468 Fritz Gesztesy and Lev A. Sakhnovich
 A Class of MatrixValued Schr\"odinger Operators with Prescribed
FiniteBand Spectra
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Dec 14, 01

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Abstract. We construct a class of matrixvalued Schr\"odinger operators with
prescribed finiteband 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
matrixvalued Herglotz functions, WeylTitchmarsh theory, pencils of
matrices, and basic inverse spectral theory for matrixvalued
Schr\"odinger operators.
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