Spectral theory and its applications / / Bernard Helffer, Université Paris-Sud [[electronic resource]]

• Autore: Helffer Bernard
• Pubblicazione: Cambridge : , : Cambridge University Press, , 2013
• Descrizione fisica: 1 online resource (v, 255 pages) : digital, PDF file(s)
• Disciplina: 515/.7222
• Soggetto topico: Spectral theory (Mathematics)
• Classificazione: MAT000000
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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 applications, along with exercises and examples, enables readers to connect theory with practice so that they develop a good understanding of how the abstract spectral theory can be applied. The final chapter provides various problems that have been the subject of active research in recent years and will challenge the reader's understanding of the material covered.
• Altri titoli varianti: Spectral Theory & its Applications
• Titolo autorizzato: Spectral theory and its applications
• ISBN: 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
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910828532803321
• Lo trovi qui: Univ. Federico II
• Serie: Cambridge studies in advanced mathematics ; ; 139.