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math.FA2024
Quantization on filtered manifolds
Clotilde Fermanian Kammerer, Véronique Fischer, Steven Flynn
In this article, we develop a pseudodifferential calculus on a general filtered manifold M . The symbols are fields of operators (x, ) parametrised by x M and the unita…
math.FA2021
Geometric invariance of the semi-classical calculus on nilpotent graded Lie groups
Clotilde Fermanian Kammerer, Veronique Fischer, Steven Flynn
In this paper, we consider the semi-classical setting constructed on nilpotent graded Lie groups by means of representation theory. We analyze the effects of the pull-back by diffe…