Pseudodifferential operators on manifolds: a coordinate-free approach
Analysis of PDEs
2011-06-21 v1 Spectral Theory
Abstract
This is a review of some coordinate-free calculi of pseudodifferential operators developed in the last years. As an application, we use a coordinate-free calculus to obtain new results on the behaviour of the spectral projections of a self-adjoint elliptic second order differential operator under perturbation of coefficients.
Cite
@article{arxiv.1106.3637,
title = {Pseudodifferential operators on manifolds: a coordinate-free approach},
author = {P. Mckeag and Y. Safarov},
journal= {arXiv preprint arXiv:1106.3637},
year = {2011}
}
Comments
19 pages