Abstract
The purpose of these notes is to describe the drift of eigenspaces for families of pseudo-differential operators. As a matter of fact, we wish to show that rather explicit formulas for the drift can be found, in such a way that oscillatory integrals involving the symbols will control the variation of the spectral projections. Let’s start now to describe the main features of our approach through a model situation.
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Lerner, N. (1996). Oscillatory Integrals Controlling the Drift of Spectral Projections for Pseudo-Differential Operators. In: de Monvel, A.B., Marchenko, V. (eds) Algebraic and Geometric Methods in Mathematical Physics. Mathematical Physics Studies, vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0693-3_5
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DOI: https://doi.org/10.1007/978-94-017-0693-3_5
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