3 papers
math.FA2017
System bandwidth and the existence of generalized shift-invariant frames
Hartmut Führ, Jakob Lemvig
We consider the question whether, given a countable system of lattices in a locally compact abelian group , there exists a sequence of functions $(g_j)_{j \in…
math.FA2017
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…
math.FA2015
Density and duality theorems for regular Gabor frames
Mads Sielemann Jakobsen, Jakob Lemvig
We investigate Gabor frames on locally compact abelian groups with time-frequency shifts along non-separable, closed subgroups of the phase space. Density theorems in Gabor analysi…