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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Vydáno v:Sahand communications in mathematical analysis Ročník 21; číslo 4; s. 59 - 76
Hlavní autoři: Ahmed Chana, Abdellatif Akhlidj
Médium: Journal Article
Jazyk:angličtina
Vydáno: University of Maragheh 01.10.2024
Témata:
calderón type reproducing formula
extremal functions
laguerre-bessel transform
wavelet transform
ISSN:2322-5807, 2423-3900
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Shrnutí: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