Pseudodifferential operators on manifolds: a coordinate-free approach

P. Mckeag; Y. Safarov

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arXiv · 1106.3637

Pseudodifferential operators on manifolds: a coordinate-free approach

P. Mckeag·Y. Safarov

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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.

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P. Mckeag, Y. Safarov. 2011-06-18. Pseudodifferential operators on manifolds: a coordinate-free approach. https://arxiv.org/abs/1106.3637

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