Spectral theory and its applications / Bernard Helffer.
Material type:
TextSeries: Cambridge studies in advanced mathematics ; 139Publication details: Cambridge : Cambridge University Press, 2013.Description: v, 255 p. : illustrations ; 24 cmISBN: - 9781107032309 (hardback)
- 515.7222 23 H474
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.7222 H474 (Browse shelf(Opens below)) | Available | 135738 |
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| 515.7222 Ed21 Spectral theory and differential operators | 515.7222 F391 Spectral theory and complex analysis | 515.7222 H419 Nonlinear methods of spectral analysis | 515.7222 H474 Spectral theory and its applications / | 515.7222 H484 Spectral theorem | 515.7222 K16 Spectral theory of banach space operators | 515.7222 K16 Semigroups of operators and spectral theory |
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.
"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"--
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