Description

Book Synopsis
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.

Trade Review
"It is written in a way well suited for a graduate course." Pavel V. Exner, Mathematical Reviews

Table of Contents
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.

Spectral Theory and its Applications

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    A Hardback by Bernard Helffer

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      Publisher: Cambridge University Press
      Publication Date: Publication Date: 1/17/2013 12:00:00 AM
      ISBN13: 9781107032309, 978-1107032309
      ISBN10: 110703230X
      Also in:
      Differential calculus and equations

      Description

      Book Synopsis
      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.

      Trade Review
      "It is written in a way well suited for a graduate course." Pavel V. Exner, Mathematical Reviews

      Table of Contents
      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.

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