Uncertainty principles for the Fourier and the short-time Fourier transforms

Anirudha Poria

doi:10.1063/5.0047191

Uncertainty principles for the Fourier and the short-time Fourier transforms

Anirudha Poria^*

^*Corresponding author for this work

Department of Applied Mathematics

Indian Institute of Science Bangalore

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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

Original language	English
Article number	113501
Journal	Journal of Mathematical Physics
Volume	62
Issue number	11
DOIs	https://doi.org/10.1063/5.0047191
Publication status	Published - 1 Nov 2021

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note = "Funding Information: The author is deeply indebted to Professor S. Thangavelu for several fruitful discussions and generous comments. The author also wishes to thank Professor Aline Bonami for several valuable comments and suggestions concerning Theorems 1.11 and 1.12. Furthermore, the author is grateful to the University Grants Commission, India, for providing the Dr. D. S. Kothari Post Doctoral Fellowship [Award No. F.4-2/2006 (BSR)/MA/18-19/0032]. Publisher Copyright: {\textcopyright} 2021 Author(s).",

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Uncertainty principles for the Fourier and the short-time Fourier transforms

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