FRACTIONAL WAVELET FRAMES IN L2(R)

被引：8
|
作者：
Shah, Firdous A. [1 ]
Debnath, Lokenath [2 ]
机构：
[1] Univ Kashmir, Dept Math, South Campus, Anantnag 192101, Jammu & Kashmir, India
[2] Univ Texas Rio Grande Valley UTRVG, Sch Math & Stat Sci, Edinburg, TX 78539 USA
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2018年 / 21卷 / 02期
关键词：
fractional wavelet; fractional Fourier transform; wavelet frame; fractional wavelet transform; FOURIER-TRANSFORM; INEQUALITIES;
D O I：
10.1515/fca-2018-0023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of this paper is to construct fractional wavelet frames in L-2(R). A necessary condition and four sufficient conditions for fractional wavelet frames are given by virtue of fractional Fourier transform. The proposed inequalities generalize all the classical wavelet inequalities when. theta = pi/2. An example is presented at the end.
引用
收藏
页码：399 / 422
页数：24
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