A Convolution-Based Shearlet Transform in Free Metaplectic Domains

被引：8
|
作者：
Garg, Tarun K. [1 ]
Lone, Waseem Z. [2 ]
Shah, Firdous A. [2 ]
Mejjaoli, Hatem [3 ]
机构：
[1] Univ Delhi, Satyawati Coll, Dept Math, Delhi 110052, India
[2] Univ Kashmir, Dept Math, South Campus, Anantnag 192101, Jammu & Kashmir, India
[3] Taibah Univ, Coll Sci, Dept Math, POB 30002, Al Madinah 30002, Al Munawarah, Saudi Arabia
来源：
JOURNAL OF MATHEMATICS | 2021年 / 2021卷
关键词：
UNCERTAINTY PRINCIPLE;
D O I：
10.1155/2021/2140189
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The free metaplectic transformation (FMT) is a multidimensional integral transform that encompasses a broader range of integral transforms, from the classical Fourier to the more recent linear canonical transforms. The aim of this study is to introduce a novel shearlet transform by employing the free metaplectic convolution structures. Besides obtaining the orthogonality relation, inversion formula, and range theorem, we also study the homogeneous approximation property for the proposed transform. Towards the culmination, we formulate the Heisenberg and logarithmic-type uncertainty principles associated with the free metaplectic shearlet transform.
引用
收藏
页数：23
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