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math.SP2002
Matrix-Valued Generalizations of the Theorems of Borg and Hochstadt
E. D. Belokolos, F. Gesztesy, K. A. Makarov +1
We prove a generalization of the well-known theorems by Borg and Hochstadt for periodic self-adjoint Schrödinger operators without a spectral gap, respectively, one gap in their sp…
math.SP2001
A Class of Matrix-Valued Schrödinger Operators with Prescribed Finite-Band Spectra
Fritz Gesztesy, Lev A. Sakhnovich
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 b…