Metrics on the Phase Space and Non-Selfadjoint Pseudo-Differential Operators

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Sharp polynomial decay rates for the damped wave equation on the torus (2012, background): “It seems that (in 2 space dimensions) k0 = 8 suffices in these two different applications of symbolic calculus (see [Sjöstrand 1995, Proposition 5.1] for a Gårding inequality with this regularity or [Lerner 2010, pp. 117–118] for a related discussion).”
Quantization on Nilpotent Lie Groups (2016, methodology): “For more details on the underlying general theory, we can refer, for instance, to [Ler10].”