Gabor frame operator for the Cauchy kernel

作者：Y. Belov, A. Kulikov, Yurii Lyubarskii · 年份：2022 · 研究领域：Mathematics

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 $\alpha,\beta$, $\alpha\beta\leq 1$.