Spectral Theory
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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.- ¿...
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¿.
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