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.
CITATION STYLE
McKeag, P., & Safarov, Y. (2011). Pseudodifferential Operators on Manifolds: A Coordinate-free Approach. In Partial Differential Equations and Spectral Theory (pp. 321–341). Springer Basel. https://doi.org/10.1007/978-3-0348-0024-2_6
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