Uncertainty principles for the <mml:math> <mml:mrow> <mml:mi>q</mml:mi> </mml:mrow> </mml:math>-Hankel–Stockwell transform-Reference-Cited by-同舟云学术

Uncertainty principles for the q -Hankel–Stockwell transform

Published:2023-07-25 Issue:7 Volume:75 Page:888-903
ISSN:1027-3190
Container-title:Ukrains’kyi Matematychnyi Zhurnal
language:
Short-container-title:Ukr. Mat. Zhurn.

Author:

Brahim Kamel,Ben Elmonser Hédi

Abstract

UDC 517.3 By using the q -Jackson integral and some elements of the q -harmonic analysis associated with the q -Hankel transform, we introduce and study a q -analog of the Hankel–Stockwell transform. We give some harmonic analysis properties (Plancherel formula, inversion formula, reproduicing kernel, etc.). Furthermore, we establish a version of Heisenberg's uncertainty principles. Finally, we study the q -Hankel–Stockwell transform on a subset of finite measure.

Publisher

SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

Subject

General Earth and Planetary Sciences,General Engineering,General Environmental Science

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