18 citations · 67 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
Quantization on Groups and Garding inequality
Lino Benedetto, Clotilde Fermanian Kammerer, Véronique Fischer
In this paper, we introduce Wick's quantization on groups and discuss its links with Kohn-Nirenberg's. By quantization, we mean an operation that associates an operator to a symbol…
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…
Semi-classical analysis on H-type groups
Clotilde Fermanian-Kammerer, Veronique Fischer
In this paper, we develop a semi-classical analysis on H-type groups. We define semi-classical pseudodifferential operators, prove the boundedness of their action on square integra…