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Pseudodifferential operators on manifolds: a coordinate-free approach (1106.3637v1)
Published 18 Jun 2011 in math.AP and math.SP
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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