5 citations · 5 across the 2 of their papers we have counts for
7 papers
Gabor Duality Theory for Morita Equivalent -algebras
Are Austad, Mads S. Jakobsen, Franz Luef
The duality principle for Gabor frames is one of the pillars of Gabor analysis. We establish a far-reaching generalization to Morita equivalent -algebras where the equivalence…
Sampling and periodization of generators of Heisenberg modules
Mads Sielemann Jakobsen, Franz Luef
This paper considers generators of Heisenberg modules in the case of twisted group -algebras of closed subgroups of locally compact abelian groups and how the restrction and/o…
Distribution Theory by Riemann Integrals
Hans G. Feichtinger, Mads S. Jakobsen
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 theor…
Duality of Gabor frames and Heisenberg modules
Mads S. Jakobsen, Franz Luef
Given a locally compact abelian group and a closed subgroup in , Rieffel associated to a Hilbert -module , known as a Heisenberg m…
Solitons of general topological charge over noncommutative tori
Ludwik Dabrowski, Mads S. Jakobsen, Giovanni Landi +1
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 associa…
On Wilson bases in L2(R^d)
Marcin Bownik, Mads Sielemann Jakobsen, Jakob Lemvig +1
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 shif…