Abstract
In this paper, the Laguerre-Bessel wavelet packets transform is defined and studied. The scale discrete scaling function and the associated Plancherel and inversion formulas are given and established. Furthermore, the Calderón reproducing formula is given and proved for the proposed transform.
Key words: Laguerre Bessel transform, Wavelet transform, Laguerre-Bessel wavelet packets, Scale discrete scaling function, Calderon's formula.
Full Text
Article Information
| Title | Laguerre-Bessel Wavelet Packets Transform |
| Source | Methods Funct. Anal. Topology, Vol. 31 (2025), no. 4, 325-335 |
| DOI | 10.31392/MFAT-npu26_4.2025.03 |
| Milestones | Received 12/02/2025; Revised 19/12/2025 |
| Copyright | The Author(s) 2025 (CC BY-SA) |
Authors Information
Abdelaali Dades
Laboratory of Fundamental and Applied Mathematics, Department of Mathematics, Faculty of Sciences Ain Chock, Hassan II University, Casablanca, Morocco
Citation Example
Abdelaali Dades, Laguerre-Bessel Wavelet Packets Transform, Methods Funct. Anal. Topology 31
(2025), no. 4, 325-335.
BibTex
@article {MFAT2141,
AUTHOR = {Abdelaali Dades},
TITLE = {Laguerre-Bessel Wavelet Packets Transform},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {31},
YEAR = {2025},
NUMBER = {4},
PAGES = {325-335},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_4.2025.03},
URL = {https://mfat.imath.kiev.ua/article/?id=2141},
}
