| Description |
1 online resource (255 pages) : illustrations |
| Series |
Cambridge studies in advanced mathematics ; 139 |
|
Cambridge studes in advanced mathematics ; v. 139
|
| Contents |
Unbound operators, adjoints, and self-adjoint operators -- Representation theorems -- Semibounded operators and the Friedrichs extension -- Compact operators : general properties and examples -- Spectral theory for bounded operators -- Application to statistical mechanics and partial differential equations -- Self-adjoining unbounded operators and spectral theory -- Essentially self-adjoint operators -- The discrete and essential spectrum -- The min-max principle -- Spectral questions about the Rayleigh equation -- Non-self-adjoint operators and pseudospectra -- Applications to non-self-adjoint one-dimensional models -- Application in kinetic theory : the Fokker-Planck operator -- Problems |
| 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"-- Provided by publisher |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Spectral theory (Mathematics)
|
|
MATHEMATICS General.
|
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MATHEMATICS Functional Analysis.
|
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Análisis funcional
|
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Spectral theory (Mathematics)
|
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Spektraltheorie
|
| Form |
Electronic book
|
| ISBN |
9781139626095 |
|
1139626094 |
|
9781139505727 |
|
1139505726 |
|
9781139611213 |
|
1139611216 |
|
9781139613071 |
|
1139613073 |
|
