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math.FA2024★ 1 cited
Benedicks-type uncertainty principle for metaplectic time-frequency representations
Karlheinz Gröchenig, Irina Shafkulovska
Metaplectic Wigner distributions are joint time-frequency representations that are parametrized by a symplectic matrix and generalize the short-time Fourier transform and the Wigne…
math.FA2024★ 4 cited
On the frame property of Hermite functions and exploration of their frame sets
Markus Faulhuber, Irina Shafkulovska, Ilya Zlotnikov
We study Gabor frames with Hermite window functions. Gröchenig and Lyubarskii provided a sufficient density condition for their frame sets, which leads to what we call the "safety…