Spectral theory and its applications /

Spectral theory and its applications /

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Bibliographic Details
Author / Creator:	Helffer, Bernard.
Imprint:	Cambridge ; New York : Cambridge University Press, [2013]
Description:	v, 255 pages : illustrations ; 24 cm.
Language:	English
Series:	Cambridge studies in advanced mathematics ; 139 Cambridge studies in advanced mathematics ; 139.
Subject:	Spectral theory (Mathematics) Spectral theory (Mathematics)
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/9098945

Hidden Bibliographic Details
ISBN:	9781107032309 (hardback) 110703230X (hardback)
Notes:	Includes bibliographical references (pages 248-252) and index.
Summary:	"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"-- P. [4] of cover.

Table of Contents:

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