Spectral Theory

[Spectral Theory in Riemannian Geometry]   by Olivier Lablee

  1. Introduction to Spectral Geometry   [一個ODE的eigen functions and eigenvaluse]
  2. Detailed introduction to abstract spectral theory
  3. The Laplacian on a compact Riemannian manifold
  4. Spectrum of the Laplacian on a compact manifold
    [Eigen function 1-dim]  [Eigenvalues]  [Calculation of the Spetrum] [Eigen value for a Schrodinger operator]
  5. Direct problems in spectral geometry
  6. Inverse problems in spectral geometry   Can one hear the shape of a drum