Spectral Theory and Its Applications
ISBN: 9781107032309 | 110703230X
Format: HardcoverPublisher: Cambridge Univ Pr
Pub. Date: 2/25/2013
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Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.
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 pseud... MORE
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 pseud... MORE
| Introduction | |
| Unbounded operators | |
| Representation theorems | |
| Semibounded operators | |
| Compact operators | |
| Spectral theory for bounded operators | |
| Applications in physics and PDE | |
| Spectrum for self-adjoint operators | |
| Essentially self-adjoint operators | |
| Discrete spectrum, essential spectrum | |
| ... MORE | |
| An application to fluid mechanics | |
| Pseudospectra | |
| Applications for 1D-models | |
| Applications in kinetic theory | |
| Problems | |
| References | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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