Continuous stockwell transform and the uncertainty principle in relation to the poly-axially operator

In this paper, we define and study the continuous Stockwell transform associated with the poly-axially operator. Next, we prove some new uncertainty principles for this transform. They include Heisenberg-type uncertainty principle and the Beckners uncertainty principle in term of entropy for Stockwell transform.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-03-07
DOI
https://doi.org/10.1142/s1793557125500287
Primary Topic
Probabilistic and Robust Engineering Design
Type
article
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article

Continuous stockwell transform and the uncertainty principle in relation to the poly-axially operator

Manel Hleili, Khaled Hleili
Asian-European Journal of Mathematics
Probabilistic and Robust Engineering Design
article

Continuous stockwell transform and the uncertainty principle in relation to the poly-axially operator

Manel Hleili, Khaled Hleili
article en

Abstract

In this paper, we define and study the continuous Stockwell transform associated with the poly-axially operator. Next, we prove some new uncertainty principles for this transform. They include Heisenberg-type uncertainty principle and the Beckners uncertainty principle in term of entropy for Stockwell transform.

Asian-European Journal of MathematicsVol. 18(09)
Northern Border University (SA), University of Kairouan (TN), Tunis El Manar University (TN), University of Tabuk (SA)
Openalex Percentile: Top 95%
Probabilistic and Robust Engineering Design
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Continuous stockwell transform and the uncertainty principle in relation to the poly-axially operator — Manel Hleili, Khaled Hleili · Asian-European Journal of Mathematics (2025) | TGRS Research Map | TGRS