12 citations · 53 across the 36 of their papers we have counts for
4 papers · 1 filter
Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groups
Ingrid Beltita, Daniel Beltita
We present some recent results on smooth vectors for unitary irreducible representations of nilpotent Lie groups. Applications to the Weyl-Pedersen calculus of pseudo-differential…
Modulation spaces of symbols for representations of nilpotent Lie groups
Ingrid Beltita, Daniel Beltita
We investigate continuity properties of operators obtained as values of the Weyl correspondence constructed by N.V. Pedersen (Invent. Math. 118 (1994), 1--36) for arbitrary irreduc…
Uncertainty principles for magnetic structures on certain coadjoint orbits
Ingrid Beltita, Daniel Beltita
By building on our earlier work, we establish uncertainty principles in terms of Heisenberg inequalities and of the ambiguity functions associated with magnetic structures on certa…
Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups
Ingrid Beltita, Daniel Beltita
We develop a pseudo-differential Weyl calculus on nilpotent Lie groups which allows one to deal with magnetic perturbations of right invariant vector fields. For this purpose we in…