Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform

The main purpose of this paper is to study the wavelet transform associated with the Laguerre-Bessel transform and to provide an integral representation of the extremal function related to this transform. We then introduce the notion of a Laguerre-Bessel two-wavelet and present generalized versions...

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Bibliographic Details
Published in:Sahand communications in mathematical analysis Vol. 21; no. 4; pp. 59 - 76
Main Authors: Ahmed Chana, Abdellatif Akhlidj
Format: Journal Article
Language:English
Published: University of Maragheh 01.10.2024
Subjects:
calderón type reproducing formula
extremal functions
laguerre-bessel transform
wavelet transform
ISSN:2322-5807, 2423-3900
Online Access:Get full text
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Summary:The main purpose of this paper is to study the wavelet transform associated with the Laguerre-Bessel transform and to provide an integral representation of the extremal function related to this transform. We then introduce the notion of a Laguerre-Bessel two-wavelet and present generalized versions of Parseval's, inversion and  Calder\'on's type reproducing formulas related to this transform.
ISSN:2322-5807
2423-3900
DOI:10.22130/scma.2023.2008779.1420