Spectral theory and its applications
 Responsibility
 Bernard Helffer.
 Language
 English.
 Publication
 Cambridge ; New York : Cambridge University Press, [2013]
 Physical description
 v, 255 pages : illustrations (black and white) ; 24 cm.
 Series
 Cambridge studies in advanced mathematics ; 139.
Access
Available online
Math & Statistics Library
Stacks
Call number  Status 

QC20.7 .S64 H45 2013  Unknown 
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Creators/Contributors
 Author/Creator
 Helffer, Bernard.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 248252) and index.
 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 selfadjoint operators 9. Essentially selfadjoint operators 10. Discrete spectrum, essential spectrum 11. The maxmin principle 12. An application to fluid mechanics 13. Pseudospectra 14. Applications for 1Dmodels 15. Applications in kinetic theory 16. Problems References Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Bernard Helffer's graduatelevel introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrodinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non selfadjoint 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2013
 Series
 Cambridge studies in advanced mathematics ; 139
 ISBN
 9781107032309 (hardback)
 110703230X (hardback)