Bernard Helffer's graduate-level introduction to the basic tools in
spectral analysis is illustrated by numerous examples from the
Schroedinger 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.
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