Spectral Theory

The Asymptotic Behavior of the Solutions of the Wave Equation Concentrated near the Axis of a Two-Dimensional Waveguide in an Inhomogeneous Medium.-
1. A Waveguide in an Inhomogeneous Medium.-
2. The Construction of the Solutions of the Wave Equation Concentrated near the Waveguide Axis.-
3. The Asymptotic Behavior of the Eigenfunctions and Eigenvalues of the Boundary Problem for the Waveguide.- Literature Cited.- Perturbations of the Spectrum of the Schroedinger Operator with a Complex Periodic Potential.-
1. Preliminary Information.-
2. Investigations of the Perturbed Operator.-
3. Investigation of the Spectrum under the Condition $$\int{\left \text{q}\left( \text{x} \right) \right }{{\text{e}}^{\text{ }\!\!\delta\!\!\text{ }\left x \right }}dx$$ ?.-
4. Proof That There Are No Eigenvalues on the Continuous Spectrum.- Literature Cited.- The Discrete Spectra of the Dirac and Pauli Operators.-
1. Auxiliary Information.-
2. The Discrete Spectrum of the Dirac Operator in the Case of Spherical Symmetry.-
3. The Discrete Spectrum of the Dirac Operator in the Three-Dimensional Case.-
4. The Discrete Spectrum of the Pauli Operator.- Literature Cited.- The Nonself-Adjoint Schroedinger Operator. III.-
1. Auxiliary Information.-
2. The Operator with Potential q(x) ? S?.-
3. The Operator with Potential q(x) ? Sn, n ?.- Literature Cited.- The Singular Numbers of the Sum of Completely Continuous Operators.- Literature Cited.- Double-Integral Operators in the Ring R^.- Literature Cited.- Correction to "The Inverse Problem in the Theory of Seismic Wave Propagation".