Uncertainty principles for the continuous wavelet transform in the Hankel setting

N. B. Hamadi; S. Omri; Naoufel Ben hamadi

doi:10.1080/00036811.2016.1276169

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Uncertainty principles for the continuous wavelet transform in the Hankel setting

Journal article

Peer reviewed

Uncertainty principles for the continuous wavelet transform in the Hankel setting

N. B. Hamadi, S. Omri and Naoufel Ben hamadi

Applicable analysis, Vol.97(4), pp.513-527

12/03/2018

DOI: https://doi.org/10.1080/00036811.2016.1276169

Abstract

42B10

Hankel transform

Hankel wavelet transform

Shapiro's theorem

umbrella theorem

uncertainty principles

Shapiro's dispersion and Umbrella theorems are proved for the continuous Hankel wavelet transform. As a side results, we extend local uncertainty principles for set of finite measure to the latter transform.

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Title: Uncertainty principles for the continuous wavelet transform in the Hankel setting
Creators - without role: N. B. Hamadi - Laboratoire de Mathématiques d'Orsay
S. Omri - Tunis University
Naoufel Ben hamadi - Imam Mohammad Ibn Saud Islamic University (IMSIU)
Publication Details: Applicable analysis, Vol.97(4), pp.513-527
Publisher: Taylor & Francis
Identifiers: 9916236108331
Academic Unit: Imam Mohammad Ibn Saud Islamic University (IMSIU)
Language: English
Resource Type: Journal article