Spectral theory and its applications /

"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...

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Bibliographic Details
Main Author:	Helffer, Bernard
Corporate Author:	ebrary, Inc
Format:	eBook
Language:	English
Published:	New York : Cambridge University Press, [2013]
Series:	Cambridge studies in advanced mathematics ; 139.
Subjects:	Spectral theory (Mathematics) MATHEMATICS / General. MATHEMATICS / Functional Analysis. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

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.