Spectral geometry
Yaiza Canzani · Contemporary mathematics - American Mathematical Society · 2018
I wrote these lectures using the material in set of notes “Analysis on manifolds via the Laplacian” available at http://www.math.harvard.edu/ canzani/docs/Laplacian.pdf. The material there corresponds to a year long course, so it contains more topics and many more details. The following references were important sources for these notes: Eigenvalues in Riemannian geometry . By I. Chavel. Old and new aspects in Spectral Geometry . By M. Craiveanu, M. Puta and T. Rassias. The Laplacian on a Riemannian manifold . By S. Rosenberg. Local and global analysis of eigenfunctions on Riemannian manifolds . By S. Zelditch. Enjoy!!