5 citations · 18 across the 14 of their papers we have counts for
21 papers
The zero set of the Zak transform of B-splines with applications to Gabor frames
Marzieh Hasannasab, Jakob Lemvig
We study the zero sets of the Zak transform of B-splines for . Specifically, we provide a full characterization of the zero set for the hat spline for all posit…
A new family of hyperbolic slits in the Gabor frame set of B-spline generators
Jakob Lemvig
We exhibit a new infinite family of hyperbolic curves in the complement of the frame set of Gabor systems with B-spline generators. The proof technique is a combination of an appro…
A remark on dilation-and-modulation frames for
Jakob Lemvig
We show that every rationally sampled dilation-and-modulation system is unitarily equivalent with a multi-window Gabor system. As a consequence, frame theoretical results from Gabo…
Gabor windows supported on and construction of compactly supported dual windows with optimal frequency localization
Jakob Lemvig, Kamilla Haahr Nielsen
We consider Gabor frames with translation parameter , modulation parameter and a window function $g \…
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…
Criteria for generalized translation-invariant frames
Jakob Lemvig, Jordy Timo van Velthoven
This paper provides new sufficient and necessary conditions for the frame property of generalized translation-invariant systems. The conditions are formulated in the Fourier domain…