We show spectral invariance for faithful∗-representations for a class of twisted convolution
algebras. More precisely, if G is a locally compact group with a continuous 2-cocycle c for …

We study when the twisted groupoid Banach*-algebra L 1 (𝒢, σ) is Hermitian. In particular,
we prove that Hermitian groupoids satisfy the weak containment property. Furthermore, we …

The duality principle for Gabor frames is one of the pillars of Gabor analysis. We establish a
far-reaching generalization to Morita equivalence bimodules with some extra properties. For …

Målet med denne avhandlingen er å presentere og utforske en symplektisk tilnærming til
gaboranalyse–gaboranalyse er et emne innen tid-frekvens-analyse som er nært knyttet …

This paper provides sufficient density conditions for the existence of smooth vectors
generating a frame or Riesz sequence in the lattice orbit of a square-integrable projective …

Following the operator algebraic approach to Gabor analysis, we construct frames of
translates for the Hilbert space localisation of the Morita equivalence bimodule arising from …

Let Λ be a lattice in a second countable, locally compact abelian group G with annihilator
Λ⊥⊆ G ˆ. We investigate the validity of the following statement: For every η in the …

We investigate spaces of operators which are invariant under translations or modulations by
lattices in phase space. The natural connection to the Heisenberg module is considered …

We demonstrate how to construct spectral triples for twisted group C^* C∗-algebras of
lattices in phase space of a second-countable locally compact abelian group using a class …

We investigate the wavelet spaces W _ g (H _ π) ⊂ L^ 2 (G) W g (H π)⊂ L 2 (G) arising from
square integrable representations π: G → U (H _ π) π: G→ U (H π) of a locally compact …