On Weyl-Heisenberg Frames

Satyapriya; Raj Kumar; Ashok K. Sah; Sheetal

On Weyl-Heisenberg Frames

Functional Analysis 2021-11-16 v1

Authors: Satyapriya , Raj Kumar , Ashok K. Sah , Sheetal

Abstract

In this paper we have generalized and studied the $K$ -Weyl-Heisenberg frames, where $K$ is a bounded linear operator on $L^2(\mathbb{R}^d)$ . 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.

Keywords

frame theory weyl groups and algebras operator theory

Cite

@article{arxiv.2111.07315,
  title  = {On Weyl-Heisenberg Frames},
  author = {Satyapriya and Raj Kumar and Ashok K. Sah and Sheetal},
  journal= {arXiv preprint arXiv:2111.07315},
  year   = {2021}
}

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