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

页码：399 / 422

页数：24

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