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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2024-10-01
|
| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_713440_51b051acaa24602cc7e21a8625341b23.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823859348693057536 |
|---|---|
| author | Ahmed Chana Abdellatif Akhlidj |
| author_facet | Ahmed Chana Abdellatif Akhlidj |
| author_sort | Ahmed Chana |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b24d10043ab649a88b93fc5e8cf8ea50 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-b24d10043ab649a88b93fc5e8cf8ea502025-02-11T05:27:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-10-01214597610.22130/scma.2023.2008779.1420713440Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet TransformAhmed Chana0Abdellatif Akhlidj1Laboratory of Fundamental and Applied Mathematics, Department of Mathematics.Laboratory of Fundamental and Applied Mathematics, Department of Mathematics.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.https://scma.maragheh.ac.ir/article_713440_51b051acaa24602cc7e21a8625341b23.pdfextremal functionswavelet transformlaguerre-bessel transformcalderón type reproducing formula |
| spellingShingle | Ahmed Chana Abdellatif Akhlidj Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform Sahand Communications in Mathematical Analysis extremal functions wavelet transform laguerre-bessel transform calderón type reproducing formula |
| title | Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform |
| title_full | Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform |
| title_fullStr | Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform |
| title_full_unstemmed | Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform |
| title_short | Extremal Functions and Calderón's Reproducing Formula for the Laguerre-Bessel Two-Wavelet Transform |
| title_sort | extremal functions and calderon s reproducing formula for the laguerre bessel two wavelet transform |
| topic | extremal functions wavelet transform laguerre-bessel transform calderón type reproducing formula |
| url | https://scma.maragheh.ac.ir/article_713440_51b051acaa24602cc7e21a8625341b23.pdf |
| work_keys_str_mv | AT ahmedchana extremalfunctionsandcalderonsreproducingformulaforthelaguerrebesseltwowavelettransform AT abdellatifakhlidj extremalfunctionsandcalderonsreproducingformulaforthelaguerrebesseltwowavelettransform |