Spectral theory and its applications /

Mostrar otras versiones (1)

"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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Helffer, Bernard
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Cambridge University Press, [2013]
Colección:Cambridge studes in advanced mathematics ; v. 139.
Temas:
Spectral theory (Mathematics)
Spectre (Mathématiques)
MATHEMATICS General.
MATHEMATICS Functional Analysis.
Spektraltheorie
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Unbound operators, adjoints, and self-adjoint operators
  • Representation theorems
  • Semibounded operators and the Friedrichs extension
  • Compact operators : general properties and examples
  • Spectral theory for bounded operators
  • Application to statistical mechanics and partial differential equations
  • Self-adjoining unbounded operators and spectral theory
  • Essentially self-adjoint operators
  • The discrete and essential spectrum
  • The min-max principle
  • Spectral questions about the Rayleigh equation
  • Non-self-adjoint operators and pseudospectra
  • Applications to non-self-adjoint one-dimensional models
  • Application in kinetic theory : the Fokker-Planck operator
  • Problems.

Ejemplares similares