Abstract
A Spectral Transform for the Matrix Hill's Equation
Robert Carlson
University of Colorado
An extension of the inverse spectral theory of Hill's equation to matrix potentials Q(X) is considered.
The range of the mapping from square integrable potentials to Floquet matrices is described using the Paley-Wiener spaces
of entire functions. Local diffeomorphism results and applications to classical inverse spectral problems are given.
The range of the mapping from square integrable potentials to Floquet matrices is described using the Paley-Wiener spaces
of entire functions. Local diffeomorphism results and applications to classical inverse spectral problems are given.
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