Microlocal analysis for differential operators : an introduction /

This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand e...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Grigis, Alain
Otros Autores: Sjöstrand, J. (Johannes)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York, NY : Cambridge University Press, ©1994.
Colección:London Mathematical Society lecture note series ; 196.
Temas:
Differential operators.
Microlocal analysis.
Opérateurs différentiels.
Analyse microlocale.
MATHEMATICS > Functional Analysis.
Differential operators
Microlocal analysis
Pseudodifferentialoperator
Fourier-Integraloperator
Symplektische Geometrie
Lokale analyse (wiskunde)
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Symbols and oscillatory integrals
  • 2. The method of stationary phase
  • 3. Pseudodifferential operators
  • 4. Application to elliptic operators and L[superscript 2] continuity
  • 5. Local symplectic geometry I (Hamilton-Jacobi theory)
  • 6. The strictly hyperbolic Cauchy problem construction of a parametrix
  • 7. The wavefront set (singular spectrum) of a distribution
  • 8. Propagation of singularities for operators of real principle type
  • 9. Local symplectic geometry II
  • 10. Canonical transformations of pseudodifferential operators
  • 11. Global theory of Fourier integral operators
  • 12. Spectral theory for elliptic operators.

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