Spectral Theory and its Applications
Book information
Description
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. 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.
Similar books
Théorie spectrale pour des opérateurs globalement elliptiques
1984 · DJVU
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
2005 · PDF
Hypoellipticité Maximale pour des Opérateurs Polynômes de Champs de Vecteurs
1985 · DJVU
Semi-Classical Analysis for the Schrödinger Operator and Applications
1988 · PDF
Pseudo-Differential Operators: Quantization and Signals
2008 · PDF
Pseudo-differential operators: Quantization and signals
2008 · PDF
Semiclassical Analysis, Witten Laplacians, and Statistical Mechanics (Series on Partial Differential Equations and Applications, 1)
2002 · PDF
Pseudo-Differential Operators: Quantization and Signals
2008 · PDF