Browsing Department of Mathematics (MU) by Thesis Advisor "Gesztesy, Fritz, 1953"
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On the spectra of Schrödinger and Jacobi operators with complexvalued quasiperiodic algebrogeometric coefficients
(University of MissouriColumbia, 2005)In this thesis we characterize the spectrum of onedimensional Schrödinger operators. H = d2/dx2+V in L2(R; dx) with quasiperiodic complexvalued algebro geometric, potentials V (i.e., potentials V which satisfy one ... 
Topics in spectral and inverse spectral theory
(University of MissouriColumbia, 2006)This dissertation is concerned with two major classes of operators and provides various spectral and inverse spectral results for them. In the first part of this work a special class of onedimensional discrete unitary ...