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

共 50 条

[41] Orthogonal Multiwavelet Frames in L2(Rd)
Liu Zhanwei
Hu Guoen
Wu Guochang
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[42] PERTURBATION OF IRREGULAR WEYL-HEISENBERG WAVE PACKET FRAMES IN L2(R)
Kumar, Raj
Sah, Ashok K.
[J]. OSAKA JOURNAL OF MATHEMATICS, 2017, 54 (04) : 789 - 799
[43] Two-dimensional fractional shearlet transforms in L2 (R2)
Lone, Waseem Z.
Shah, Firdous A.
Zayed, Ahmed, I
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2022, 25 (06) : 2554 - 2575
[44] A FRACTIONAL POWER THEORY FOR HANKEL-TRANSFORMS IN L2(R+)
KERR, FH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 158 (01) : 114 - 123
[45] Fractional biorthogonal wavelets in L2(DOUBLE-STRUCK CAPITAL R)
Ahmad, Owais
Sheikh, N. A.
Shah, Firdous A.
[J]. APPLICABLE ANALYSIS, 2023, 102 (01) : 1 - 22
[46] Discrete frames for L2(Rn2) arising from tiling systems on GLn(R)
Ghandehari, Mahya
Hollingsworth, Kris
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 503 (02)
[47] A note on the design of nonseparable orthonormal wavelet bases of L2(R3)
Karoui, A
[J]. APPLIED MATHEMATICS LETTERS, 2005, 18 (03) : 293 - 298
[48] Weak Affine Super Bi-frames for Reducing Subspaces of L2(R, CL)
Li, Yun-Zhang
Tian, Yu
[J]. RESULTS IN MATHEMATICS, 2018, 73 (03)
[49] Dyadic bivariate wavelet multipliers in L2(ℝ2)
Zhong Yan Li
Xian Liang Shi
[J]. Acta Mathematica Sinica, English Series, 2011, 27 : 1489 - 1500
[50] Tight Weyl-Heisenberg frames in l2
Cvetkovic, Z
Vetterli, M
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1998, 46 (05) : 1256 - 1259

← 1 2 3 4 5 →