12 citations · 53 across the 36 of their papers we have counts for
47 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…
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…
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.
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…