English

Uncertainty Principles for the Fourier and the Short-Time Fourier Transforms

Functional Analysis 2021-11-30 v1 Classical Analysis and ODEs

Abstract

The aim of this paper is to establish a few uncertainty principles for the Fourier and the short-time Fourier transforms. Also, we discuss an analogue of Donoho--Stark uncertainty principle and provide some estimates for the size of the essential support of the short-time Fourier transform.

Keywords

Cite

@article{arxiv.2004.04184,
  title  = {Uncertainty Principles for the Fourier and the Short-Time Fourier Transforms},
  author = {Anirudha Poria},
  journal= {arXiv preprint arXiv:2004.04184},
  year   = {2021}
}

Comments

10 pages