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arXiv · 2212.08915

Gabor frame operator for the Cauchy kernel

Yurii Belov·Aleksei Kulikov·Yurii Lyubarskii
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Abstract

We obtain frame bounds estimates and the Gabor frame operator $S=S^{\alpha,\beta}$ for Gabor frames generated by the Cauchy kernel. In addition we find the explicit expression for the canonical dual window for all values of the lattice parameters $\alpha,\beta$, $\alpha\beta\leq 1$.

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Yurii Belov, Aleksei Kulikov, Yurii Lyubarskii. 2022-12-17. Gabor frame operator for the Cauchy kernel. https://arxiv.org/abs/2212.08915

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