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  • Spectral Theory and Its Applications by Bernard Helffer (English) Hardcover Book

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      Spectral Theory and Its Applications

      by Bernard Helffer

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

      FORMAT
      Hardcover
      LANGUAGE
      English
      CONDITION
      Brand New


      Publisher Description

      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.

      Author Biography

      Bernard Helffer is a Professor in the Department of Mathematics at Universite 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'Etat by the French Academy of Sciences.

      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.

      Review

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

      Review Quote

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

      Promotional "Headline"

      Introduces the basic tools in spectral analysis using numerous examples from the Schr

      Description for Bookstore

      Bernard Helffer's introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schr

      Description for Library

      Bernard Helffer's introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schr

      Details

      ISBN110703230X
      Author Bernard Helffer
      ISBN-10 110703230X
      ISBN-13 9781107032309
      Media Book
      Year 2013
      Publisher CAMBRIDGE UNIVERSITY PRESS
      Language English
      Series Cambridge Studies in Advanced Mathematics
      Imprint Cambridge University Press
      Place of Publication Cambridge
      Country of Publication United Kingdom
      DEWEY 515.7222
      Publication Date 2013-01-17
      Short Title SPECTRAL THEORY & ITS APPLICAT
      Series Number 139
      Pages 262
      Format Hardcover
      Illustrations Worked examples or Exercises; 1 Halftones, unspecified; 1 Line drawings, unspecified
      Audience Professional and Scholarly
      UK Release Date 2013-01-17
      AU Release Date 2013-01-17
      NZ Release Date 2013-01-17

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