Spectral Theory (Topics in Mathematical Physics)

M. Sh. Birman

ISBN 10: 1468475916 / ISBN 13: 9781468475913

Editore: Springer US, 2012

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Neu neuware, importqualität, auf lager - InhaltsangabeThe 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 $$int{left ext{q}left( ext{x} ight) ight }{{ext{e}}^{ext{ }!!delta!!ext{ }left x ight }}dx$$ < .- 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'.

Codice articolo INF1000428081

Dati bibliografici

• Titolo: Spectral Theory (Topics in Mathematical Physics)
• Editore: Springer US
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1468475916
• ISBN 13: 9781468475913
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 279 L x 210 A x 5 P (millimetri) 279 millimetri di larghezza per 210 millimetri di altezza per 5 millimetri di profondità
• Peso: 267 grammi

Descrizione articolo

Contenuti

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”.