Hangzhou lectures on eigenfunctions of the Laplacian /

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Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an imp...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sogge, Christopher D. (Christopher Donald), 1960- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2014.
Colección:Annals of mathematics studies ; no. 188.
Temas:
Laplacian operator.
Eigenfunctions.
Analysis.
Mathematics.
Mathematik.
Laplacien.
Fonctions propres.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
MATHEMATICS > Differential Equations > Partial.
Eigenfunctions
Laplacian operator
Acceso en línea:Texto completo
Tabla de Contenidos:
  • A review : the Laplacian and the d'Alembertian
  • Geodesics and the Hadamard paramatrix
  • The sharp Weyl formula
  • Stationary phase and microlocal analysis
  • Improved spectral asymptotics and periodic geodesics
  • Classical and quantum ergodicity
  • Appendix.

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