03403nam 22006612 450 991045251380332120151005020621.01-107-23802-11-107-25498-11-139-61121-61-139-61307-31-139-50572-61-139-62609-41-139-61679-X1-283-89949-31-139-62237-4(CKB)2550000000710941(EBL)1099950(OCoLC)823724187(SSID)ssj0000784315(PQKBManifestationID)11430900(PQKBTitleCode)TC0000784315(PQKBWorkID)10763859(PQKB)11589262(UkCbUP)CR9781139505727(MiAaPQ)EBC1099950(Au-PeEL)EBL1099950(CaPaEBR)ebr10635758(CaONFJC)MIL421199(EXLCZ)99255000000071094120120508d2013|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierSpectral theory and its applications /Bernard Helffer, Université Paris-Sud[electronic resource]Cambridge :Cambridge University Press,2013.1 online resource (v, 255 pages) digital, PDF file(s)Cambridge studies in advanced mathematics ;139Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-107-47167-2 1-107-03230-X Includes bibliographical references and index.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. 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.Cambridge studies in advanced mathematics ;139.Spectral Theory & its ApplicationsSpectral theory (Mathematics)Spectral theory (Mathematics)515/.7222Helffer Bernard52445UkCbUPUkCbUPBOOK9910452513803321Spectral theory and its applications833143UNINA