9 papers
Coherent frames with zero Beurling density
Ingrid Beltita, Jordy Timo van Velthoven
We show the existence of a coherent frame in the orbit of a connected, simply connected unimodular solvable Lie group of exponential growth for which the lower Beurling density of…
Invariant Hilbert spaces of distribution vectors in Lie group representations
Ingrid Beltita, Daniel Beltita
For every unitary irreducible representation of a Lie group we prove that the representation Hilbert space is the only nonzero invariant Hilbert space of distribution vectors.
On the -algebras of linear dynamical systems
Ingrid Beltita, Daniel Beltita
We verify the conjecture on continuous-trace subquotients for -algebras of nilpotent linear dynamical systems, where by linear dynamical system we mean a continuous action of…
Strong -rigidity of the Heisenberg groups
Ingrid Beltita, Daniel Beltita
We prove a strong rigidity property of the Heisenberg groups, that is, they can be distinguished from any other 1-connected Lie groups via their unitary dual spaces, in particular…
The -algebras of completely solvable Lie groups are solvable
Ingrid Beltita, Daniel Beltita
We prove that if a connected and simply connected Lie group admits connected closed normal subgroups with for $j…
-rigidity of the Heisenberg group
Ingrid Beltita, Daniel Beltita
We prove that the Heisenberg groups can be distinguished from the other connected and simply connected Lie groups via their group -algebras. The main step of the proof is a ch…