Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188) /

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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Détails bibliographiques
Auteur principal: Sogge, Christopher D. (Christopher Donald), 1960- (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Princeton : Princeton University Press, 2014.
Collection:Book collections on Project MUSE.
Sujets:
Laplacian operator.
Eigenfunctions.
MATHEMATICS > Differential Equations > Partial.
MATHEMATICS > Mathematical Analysis.
MATHEMATICS > Calculus.
Fonctions propres.
Laplacien.
Mathematik.
Mathematics.
Analysis.
Electronic books.
Accès en ligne:Texto completo
Table des matières:
  • 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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