Biorthogonal Bases of Multiwavelets

被引：0

作者：

Pleshcheva, E. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Branch, Krasovskii Inst Math & Mech, Ekaterinburg 620990, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2017年 / 296卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

multiwavelet; mask; biorthogonal basis; scaling function; multiresolution analysis;

D O I：

10.1134/S008154381702016X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method for the construction of biorthogonal bases of multiwavelets from known bases of multiscaling functions is given. It is similar to the method presented in the author's 2014 paper joint with N.I. Chernykh and is based on the same principle: the construction of multiwavelets based on k multiscaling functions employs an analog of the vector product of vectors in a 2k-dimensional space.

引用

页码：S175 / S185

页数：11

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