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Record Nr. |
UNINA9910779310203321 |
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Autore |
Helffer Bernard |
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Titolo |
Spectral theory and its applications / / Bernard Helffer, Université Paris-Sud [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2013 |
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ISBN |
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1-107-23802-1 |
1-107-25498-1 |
1-139-61121-6 |
1-139-61307-3 |
1-139-50572-6 |
1-139-62609-4 |
1-139-61679-X |
1-283-89949-3 |
1-139-62237-4 |
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Descrizione fisica |
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1 online resource (v, 255 pages) : digital, PDF file(s) |
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Collana |
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Cambridge studies in advanced mathematics ; ; 139 |
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Classificazione |
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Disciplina |
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Soggetti |
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Spectral theory (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. The author's focus on |
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