Spectral theory and its applications

Machine generated contents note: 1. Introduction; 2. Unbounded operators; 3. Representation theorems; 4. Semibounded operators; 5. Compact operators; 6. Spectral theory for bounded operators; 7. Applications in physics and PDE; 8. Spectrum for self-adjoint operators; 9. Essentially self-adjoint oper...

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1. Verfasser: Helffer, Bernard (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Cambridge u.a. Cambridge University Press 2013
Ausgabe:1. publ.
Schriftenreihe:Cambridge studies in advanced mathematics 139
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Zusammenfassung:Machine generated contents note: 1. Introduction; 2. Unbounded operators; 3. Representation theorems; 4. Semibounded operators; 5. Compact operators; 6. Spectral theory for bounded operators; 7. Applications in physics and PDE; 8. Spectrum for self-adjoint operators; 9. Essentially self-adjoint operators; 10. Discrete spectrum, essential spectrum; 11. The max-min principle; 12. An application to fluid mechanics; 13. Pseudospectra; 14. Applications for 1D-models; 15. Applications in kinetic theory; 16. Problems; References; Index.
"Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra"--
Beschreibung:Literaturverz. S. 248 - 252
Beschreibung:V, 255 S.
graph. Darst.
23 cm
ISBN:9781107032309
978-1-107-03230-9
110703230X
1-107-03230-X