Fractional Wavelet Frames in L2(ℝ)

被引：0
|
作者：
Firdous A. Shah
Lokenath Debnath
机构：
[1] University of Kashmir,Dept. of Mathematics
[2] University of Texas Rio Grande Valley (UTRVG),School of Mathematical and Statistical Sciences
来源：
Fractional Calculus and Applied Analysis | 2018年 / 21卷
关键词：
Primary 42C40; Secondary 42C15; 41A17; 46F12; 26A33; fractional wavelet; fractional Fourier transform; wavelet frame; fractional wavelet transform;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The objective of this paper is to construct fractional wavelet frames in L2(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 θ = π/2. An example is presented at the end.
引用
收藏
页码：399 / 422
页数：23
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