On Weyl-Heisenberg Frames

2021/11/14 by Satyapriya, Raj Kumar, Kumar, Raj +4
Mathematics · #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #math.FA

paper · pdf · doi:10.48550/arxiv.2111.07315

arxiv created 2021/11/14 · openalex publication_date 2021/11/14 · arxiv updated 2021/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we have generalized and studied the K-Weyl-Heisenberg frames, where K is a bounded linear operator on L²(ℝ^d). We have obtained necessary and sufficient conditions for acertain system to be a K-Weyl-Heisenberg frame. We have also given the invariance property of these K-Weyl-Heisenberg frames.

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