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pro vyhledávání: '"Ulrik Enstad"'
Autor:
Ulrik Enstad, Jordy Timo van Velthoven
Publikováno v:
Archiv der Mathematik, 119(3)
This note provides new criteria on a unimodular group $G$ and a discrete series representation $(\pi, \mathcal{H}_{\pi})$ of formal degree $d_{\pi} > 0$ under which any lattice $\Gamma \leq G$ with $\text{vol}(G/\Gamma) d_{\pi} \leq 1$ (resp. $\text{
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45ae40e1fe8b4667825bffaef42d7427
http://hdl.handle.net/10852/94257
http://hdl.handle.net/10852/94257
Publikováno v:
Journal of Functional Analysis, 283(6)
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 representation of a nilpotent Lie group. The conditions involve the prod
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Autor:
Ulrik Enstad, Are Austad
Let $\Delta$ be a closed, cocompact subgroup of $G \times \widehat{G}$, where $G$ is a second countable, locally compact abelian group. Using localization of Hilbert $C^*$-modules, we show that the Heisenberg module $\mathcal{E}_{\Delta}(G)$ over the
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::956b1663dbc65b430cabda3821aab7c9
http://hdl.handle.net/10852/78024
http://hdl.handle.net/10852/78024
Autor:
Ulrik Enstad
Let $\Lambda$ be a lattice in a second countable, locally compact abelian group $G$ with annihilator $\Lambda^{\perp} \subseteq \widehat{G}$. We investigate the validity of the following statement: For every $\eta$ in the Feichtinger algebra $S_0(G)$
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http://arxiv.org/abs/1905.06827
http://arxiv.org/abs/1905.06827
We show that the construction of Gabor frames in $L^{2}(\mathbb{R})$ with generators in $\mathbf{S}_{0}(\mathbb{R})$ and with respect to time-frequency shifts from a rectangular lattice $\alpha\mathbb{Z}\times\beta\mathbb{Z}$ is equivalent to the con
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