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arXiv:1507.03982 [math.FA]AbstractReferencesReviewsResources

A counterexample to the B-spline conjecture for Gabor frames

Jakob Lemvig, Kamilla Haahr Nielsen

Published 2015-07-14Version 1

The frame set conjecture for B-splines states that the frame set is the maximal set that avoids the known obstructions. We show that this conjecture is false for the hat function $B_2$. On the other hand, we uncover a new region belonging to the frame set for $B_N$, $N \ge 2$.

Categories: math.FA
Subjects: 42C15
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