Spectral Theory and its Applications (Cambridge Studies in Advanced Mathematics, Series Number 139) - Hardcover

Helffer, Bernard

Hardcover

ISBN 10: 110703230X ISBN 13: 9781107032309

Publisher: Cambridge University Press, 2013

Synopsis

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.

About this title

Book Description:

Bernard Helffer's 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 author's focus on applications enables readers to connect theory with practice.

About the Author:

Bernard Helffer is a Professor in the Department of Mathematics at Université Paris-Sud. He has published more than 200 papers in mathematics and mathematical physics and authored five books. In 2011 he was awarded the Prix de l'État by the French Academy of Sciences.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2013
• ISBN 10: 110703230X
• ISBN 13: 9781107032309
• Binding: Hardcover
• Edition number: 1
• Number of pages: 262