Gabor frame operator for the Cauchy kernel

2022/12/17 by Yurii Belov, Aleksei Kulikov, Belov, Yurii +3
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2212.08915

openalex publication_date 2022/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain frame bounds estimates and the Gabor frame operator S=S^α,β 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 α,β, αβ≤ 1.

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