Continous linear canonical Dunkl wavelet transform: properties and applications
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915177647046656 |
|---|---|
| author | Saoudi, Ahmed Kallel, Imen |
| author_facet | Saoudi, Ahmed Kallel, Imen |
| contents | The aim of this paper is to establish and study the linear canonical Dunkl wavelet transform. We begin by introducing the generalized translation operator and generalized convolution product for the linear canonical Dunkl transform and we establish their basic properties. Next, we introduce the new proposed wavelet transform and we investigate its fundamentals properties. In the end, we derive some uncertainty inequalities for the desired wavelet transform as applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00173 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Continous linear canonical Dunkl wavelet transform: properties and applications Saoudi, Ahmed Kallel, Imen Classical Analysis and ODEs Mathematical Physics Primary 43AXX, Secondary 42AXX The aim of this paper is to establish and study the linear canonical Dunkl wavelet transform. We begin by introducing the generalized translation operator and generalized convolution product for the linear canonical Dunkl transform and we establish their basic properties. Next, we introduce the new proposed wavelet transform and we investigate its fundamentals properties. In the end, we derive some uncertainty inequalities for the desired wavelet transform as applications. |
| title | Continous linear canonical Dunkl wavelet transform: properties and applications |
| topic | Classical Analysis and ODEs Mathematical Physics Primary 43AXX, Secondary 42AXX |
| url | https://arxiv.org/abs/2503.00173 |