• On the spectra of Schrödinger and Jacobi operators with complex-valued quasi-periodic algebro-geometric coefficients 

    Batchenko, Vladimir, 1978- (University of Missouri--Columbia, 2005)
    In this thesis we characterize the spectrum of one-dimensional Schrödinger operators. H = -d2/dx2+V in L2(R; dx) with quasi-periodic complex-valued algebro geometric, potentials V (i.e., potentials V which satisfy one ...
  • Topics in spectral and inverse spectral theory 

    Zinchenko, Maksym, 1980- (University of Missouri--Columbia, 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 one-dimensional discrete unitary ...
  • Topics in spectral theory of differential operators / 

    Sukhtaiev, Selim, 1990- (University of Missouri--Columbia, 2017)
    This dissertation is devoted to two eigenvalue counting problems: Determining the asymptotic behavior of large eigenvalues of self-adjoint extensions of partial differential operators, and computing the number of negative ...