Characterization of wavelets associated with AB-MRA on L2 (Rn)

被引：0

作者：

Ahmad, Owais ^{[1
]}

Bhat, M. Younus ^{[2
]}

Sheikh, Neyaz A. ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Srinagar 190006, Jammu & Kashmir, India

[2] Islamic Univ Sci & Technol, Dept Math Sci, Pulwama 192122, Jammu & Kashmir, India

来源：

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2021年 / 48卷 / 02期

关键词：

Wavelets; Composite; Fourier transform; Multiresolution analysis; Dimension function;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A wavelet with composite dilations is a function generating an orthonormal basis or a Parseval frame for L-2(R-n) under the action of lattice translations and dilations by products of elements drawn from non-commuting matrix sets A and B. Typically, the members of B are matrices whose eigenvalues have magnitude one, while the members of A are matrices expanding on a proper subspace of R-n. In this paper, we provide the characterization of composite wavelets based on results of affine and quasi affine frames. Furthermore all the composite wavelets associated with AB-MRA on L-2 (R-n) are also characterized.

引用

页码：293 / 306

页数：14

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