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Spectral theory and its applications / Bernard Helffer.

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Author/Creator:
Helffer, Bernard.
Language:
English.
Publication date:
2013
Publication:
Cambridge ; New York : Cambridge University Press, [2013]
Format:
  • Book
  • v, 255 pages : illustrations (black and white) ; 24 cm.
Bibliography:
Includes bibliographical references (pages 248-252) and index.
Contents:
  • Machine generated contents note: 1. Introduction; 2. Unbounded operators; 3. Representation theorems; 4. Semibounded operators; 5. Compact operators; 6. Spectral theory for bounded operators; 7. Applications in physics and PDE; 8. Spectrum for self-adjoint operators; 9. Essentially self-adjoint operators; 10. Discrete spectrum, essential spectrum; 11. The max-min principle; 12. An application to fluid mechanics; 13. Pseudospectra; 14. Applications for 1D-models; 15. Applications in kinetic theory; 16. Problems; References; Index.
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.
Series:
Cambridge studies in advanced mathematics ; 139.
Subjects:
ISBN:
9781107032309
110703230X

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