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Spectral Theory (Topics in Mathematical Physics, Band 3) - Softcover

Birman, M. Sh.

 
9781468475913: Spectral Theory (Topics in Mathematical Physics, Band 3)
Softcover
ISBN 10: 1468475916 ISBN 13: 9781468475913
Verlag: Springer, 2012

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".

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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.- ¿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¿.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
1468475916
ISBN 13 
9781468475913
Einband
Taschenbuch
Anzahl der Seiten
99
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