29 citations · 73 across the 24 of their papers we have counts for
31 papers
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…
Some remarks on semi-classical analysis on two-step Nilmanifolds
Clotilde Fermanian Kammerer, Véronique Fischer, Steven Flynn
In this paper, we present recent results about the developement of a semiclassical approach in the setting of nilpotent Lie groups and nilmanifolds. We focus on two-step nilmanifol…
An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups
Veronique Fischer, Francesca Tripaldi
In this paper, we consider the Rumin complex on homogenenous nilpotent Lie groups. We present an alternative construction to the classical one on Carnot groups using ideas from par…
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…
Asymptotics and zeta functions on compact nilmanifolds
Veronique Fischer
In this paper, we obtain asymptotic formulae on nilmanifolds , wher is any stratified (or even graded) nilpotent Lie group equipped with a co-compact discrete su…
Towards semi-classical analysis for sub-elliptic operators
Veronique Fischer
We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators. In particular, we give an overv…