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In this paper, we obtain asymptotic formulae on nilmanifolds Γ﹨G, where G is any stratified (or even graded) nilpotent Lie group equipped with a co-compact discrete subgroup Γ. We study especially the asymptotics related to...
In this paper we define difference operators and homogeneous Sobolev-type spaces on the dual of a compact Lie group. As an application and to show that this defines a relevant differential structure, we state and prove...
In this paper we define difference operators and homogeneous Sobolev-type spaces on the dual of a compact Lie group. As an application and to show that this defines a relevant differential structure, we state and prove...
In this paper we analyze the evolution of the time averaged energy densities associatedwith a family of solutions to a Schrödinger equation on a Lie group ofHeisenberg type. We use a semi-classical approach adapted to the...
In this paper, we obtain asymptotic formulae on nilmanifolds Γ﹨G, where G is any stratified (or even graded) nilpotent Lie group equipped with a co-compact discrete subgroup Γ. We study especially the asymptotics related to...
In this paper we analyze the evolution of the time averaged energy densities associatedwith a family of solutions to a Schrödinger equation on a Lie group ofHeisenberg type. We use a semi-classical approach adapted to the...
It has been shown [1,2,9,10] that for several nilpotent Gelfand pairs (N,K) (i.e., with N a nilpotent Lie group, K a compact group of automorphisms of N and the algebra L 1(N) K commutative) the...
We study multipliers on graded nilpotent Lie groups defined via group Fourier transform. More precisely, we show that Hörmander-type conditions on the Fourier multipliers imply Lp-boundedness. We express these conditions...
We study multipliers on graded nilpotent Lie groups defined via group Fourier transform. More precisely, we show that Hörmander-type conditions on the Fourier multipliers imply Lp-boundedness. We express these conditions...
In this paper, we develop semi-classical analysis on H-type groups. We define semi-classical pseudodi fferential operators, prove the boundedness of their action on square integrable functions and develop a symbolic calculus....
In this paper, we develop semi-classical analysis on H-type groups. We define semi-classical pseudodi fferential operators, prove the boundedness of their action on square integrable functions and develop a symbolic calculus....
It has been shown [1,2,9,10] that for several nilpotent Gelfand pairs (N,K) (i.e., with N a nilpotent Lie group, K a compact group of automorphisms of N and the algebra L 1(N) K commutative) the...
In this paper, we investigate trace expansions of operatorsof the form Aη(tL) where η: R→C is a Schwartz function, A and L are classical pseudo-differential operators on a compact manifold M with L elliptic. In particular, we...
In this paper, we investigate trace expansions of operatorsof the form Aη(tL) where η: R→C is a Schwartz function, A and L are classical pseudo-differential operators on a compact manifold M with L elliptic. In particular, we...
Campylobacter is among the most common worldwide causes of bacterial gastroenteritis. This organism is part of the commensal microbiota of numerous host species, including livestock, and these animals constitute potential...
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