TY  - BOOK
AU  - Helffer,Bernard
TI  - Spectral theory and its applications
T2  - Cambridge studies in advanced mathematics
SN  - 9781107032309 (hardback)
U1  - 515.7222 23
PY  - 2013///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Spectral theory (Mathematics)
KW  - MATHEMATICS / General
N1  - Includes bibliographical references (pages 248-252) and index; 1. Introduction --
 2. Unbounded operators, adjoints, and self-adjoint operators --
 3. Representation theorem --
 4. Semibounded operators and the Friedrichs extension --
 5. Compact operators: general properties and examples --
 6. Spectral theory for bounded operators --
 7. Applications to statistical mechanics and partial differential equations --
 8. Self-adjoint unbounded operators and spectral theory --
 9. Essentially self-adjoint operators --
 10. Discrete spectrum, essential spectrum --
 11. The max-min principle --
 12. Special questions about the Rayleigh equation --13. Non-self adjoint operators and pseudospectra --14. Applications to non-self-adjoint one-dimensional models --
 15. Applications in kinetic theory: the Fokker-Planck operator --
 16. Problems--
Bibliography--
Index
N2  - "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"--
ER  -