Local price uncertainty principle and time-frequency localization operators for the q-Hankel–Stockwell transform-Reference-Cited by-同舟云学术

Local price uncertainty principle and time-frequency localization operators for the q-Hankel–Stockwell transform

Published:2022-08-24 Issue:03 Volume:16 Page:
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Elmonser Hedi¹²,Brahim Kamel³⁴

Affiliation:

1. Department of Mathematics, College of Science Al-Zuli, Majmaah University, P. O. Box 66, Al-Majmaah 11952, Saudi Arabia

2. Department of Mathematics, National Institute of Technology and Applied Sciences, Tunis, Tunisia

3. Department of Mathematics, College of Science, University of Bisha, Bisha, Saudi Arabia

4. Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis, Tunisia

Abstract

In this paper, using the [Formula: see text]-Jackson integral and some elements of the [Formula: see text]-harmonic analysis associated with the [Formula: see text]-Hankel transform, we introduce and study the [Formula: see text]-analogue of the Hankel–Stockwell transform. We give some harmonic analysis properties (Plancherel formula, inversion formula, reproduicing kernel[Formula: see text]). Furthermore, we establish a version of Heisenberg’s uncertainty principles. Last, we study the [Formula: see text]-Hankel–Stockwell transform on subset of finite measure.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557123500493

Reference14 articles.

1. Two-Wavelet Localization Operators on Homogeneous Spaces and Their Traces

2. Schatten–von Neumann norm inequalities for two-wavelet localization operators associated with β-Stockwell transforms