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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Veröffentlicht in:Sahand communications in mathematical analysis Jg. 21; H. 4; S. 59 - 76
Hauptverfasser: Ahmed Chana, Abdellatif Akhlidj
Format: Journal Article
Sprache:Englisch
Veröffentlicht: University of Maragheh 01.10.2024
Schlagworte:
calderón type reproducing formula
extremal functions
laguerre-bessel transform
wavelet transform
ISSN:2322-5807, 2423-3900
Online-Zugang:Volltext
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Zusammenfassung: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