Zobrazeno 1 - 10
of 159
pro vyhledávání: '"JAKOBSEN, MADS"'
We generalize Feichtinger and Kaiblinger's theorem on linear deformations of uniform Gabor frames to the setting of a locally compact abelian group $G$. More precisely, we show that Gabor frames over lattices in the time-frequency plane of $G$ with w
Externí odkaz:
http://arxiv.org/abs/2001.07080
The duality principle for Gabor frames is one of the pillars of Gabor analysis. We establish a far-reaching generalization to Morita equivalent $C^*$-algebras where the equivalence bimodule is a finitely generated projective Hilbert $C^*$-module. The
Externí odkaz:
http://arxiv.org/abs/1905.01889
Autor:
Jakobsen, Mads Sielemann, Luef, Franz
This paper considers generators of Heisenberg modules in the case of twisted group $C^*$-algebras of closed subgroups of locally compact abelian groups and how the restrction and/or periodization of these generators yield generators for other Heisenb
Externí odkaz:
http://arxiv.org/abs/1811.10925
It is the purpose of this article to outline a course that can be given to engineers looking for an understandable mathematical description of the foundations of distribution theory and the necessary functional analytic methods. Arguably, these are n
Externí odkaz:
http://arxiv.org/abs/1810.04420
Publikováno v:
Comptes Rendus Mathematique Volume 357, Issue 2, February 2019, Pages 188-199
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
Externí odkaz:
http://arxiv.org/abs/1807.07011
The Segal algebra $\mathbf{S}_{0}(G)$ is well defined for arbitrary locally compact Abelian Hausdorff (LCA) groups $G$. It is a Banach space that exhibits a kernel theorem similar to the well-known Schwartz kernel theorem. Specifically, we call this
Externí odkaz:
http://arxiv.org/abs/1806.06307
Autor:
Jakobsen, Mads S., Luef, Franz
Given a locally compact abelian group $G$ and a closed subgroup $\Lambda$ in $G\times\widehat{G}$, Rieffel associated to $\Lambda$ a Hilbert $C^*$-module $\mathcal{E}$, known as a Heisenberg module. He proved that $\mathcal{E}$ is an equivalence bimo
Externí odkaz:
http://arxiv.org/abs/1806.05616
Publikováno v:
In Advances in Mathematics 3 December 2022 410 Part B
We continue the study of solitons over noncommutative tori from the perspective of time-frequency analysis and treat the case of a general topological charge. Solutions are associated with vector bundles of higher rank over noncommutative tori. We ex
Externí odkaz:
http://arxiv.org/abs/1801.08596
A Wilson system is a collection of finite linear combinations of time frequency shifts of a square integrable function. In this paper we use the fact that a Wilson system is a shift-invariant system to explore its relationship with Gabor systems. It
Externí odkaz:
http://arxiv.org/abs/1703.08600