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math.FA2026
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…
math.FA2026
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…