Uncertainty principles for the windowed Hankel transform

Wen Biao Gao; Bing Zhao Li

doi:10.1080/10652469.2020.1774576

Uncertainty principles for the windowed Hankel transform

Wen Biao Gao, Bing Zhao Li^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

6 Citations (Scopus)

Abstract

The aim of this paper is to prove some new uncertainty principles for the windowed Hankel transform. They include uncertainty principle for orthonormal sequence, local uncertainty principle, logarithmic uncertainty principle and Heisenberg-type uncertainty principle. As a side result, we obtain the Shapiro's dispersion theorem for the windowed Hankel transform.

Original language	English
Pages (from-to)	982-997
Number of pages	16
Journal	Integral Transforms and Special Functions
Volume	31
Issue number	12
DOIs	https://doi.org/10.1080/10652469.2020.1774576
Publication status	Published - Dec 2020

Keywords

Hankel transform
uncertainty principle
windowed Hankel transform

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10.1080/10652469.2020.1774576

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title = "Uncertainty principles for the windowed Hankel transform",

abstract = "The aim of this paper is to prove some new uncertainty principles for the windowed Hankel transform. They include uncertainty principle for orthonormal sequence, local uncertainty principle, logarithmic uncertainty principle and Heisenberg-type uncertainty principle. As a side result, we obtain the Shapiro's dispersion theorem for the windowed Hankel transform.",

keywords = "Hankel transform, uncertainty principle, windowed Hankel transform",

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AB - The aim of this paper is to prove some new uncertainty principles for the windowed Hankel transform. They include uncertainty principle for orthonormal sequence, local uncertainty principle, logarithmic uncertainty principle and Heisenberg-type uncertainty principle. As a side result, we obtain the Shapiro's dispersion theorem for the windowed Hankel transform.

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Uncertainty principles for the windowed Hankel transform

Abstract

Keywords

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