M. Sh. Birman

Spectral Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

Zur Zeit liegt uns keine Inhaltsangabe vor.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 93
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781468475890
• Artikelnr.: 43995063

Inhaltsangabe

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".