12 citations · 53 across the 36 of their papers we have counts for
5 papers · 1 filter
-dynamical systems of solvable Lie groups
Ingrid Beltita, Daniel Beltita
In this paper we develop a groupoid approach to some basic topological properties of dual spaces of solvable Lie groups using suitable dynamical systems related to the coadjoint ac…
On -algebras of exponential solvable Lie groups and their real ranks
Ingrid Beltita, Daniel Beltita
For any solvable Lie group whose exponential map is bijective, we prove that the real rank of is equal to $\dim({\mathfrak g}/[{\mathfrak…
Transference for Banach space representations of nilpotent Lie groups. Part 1. Irreducible representations
Ingrid Beltita, Daniel Beltita, Jose E. Gale
We establish a general CCR (liminarity) property for uniformly bounded irreducible representations of nilpotent Lie groups on reflexive Banach spaces, extending the well known prop…
Representations of nilpotent Lie groups via measurable dynamical systems
Ingrid Beltita, Daniel Beltita
We study unitary representations associated to cocycles of measurable dynamical systems. Our main result establishes conditions on a cocycle, ensuring that ergodicity of the dynami…
On Wigner transforms in infinite dimensions
Ingrid Beltita, Daniel Beltita, Marius Mantoiu
We investigate the Schrödinger representations of certain infinite-dimensional Heisenberg groups, using their corresponding Wigner transforms.