Wavelet frames related to Walsh functions

被引：4

作者：

Farkov, Yuri A. ^{[1
]}

机构：

[1] Russian Presidential Acad Natl Econ & Publ Adm RA, Dept Appl Informat Technol, Pr Vernadskogo 84, Moscow 119571, Russia

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2019年 / 5卷 / 01期

关键词：

Wavelets; Frames; Walsh functions; Vilenkin groups; ORTHOGONAL WAVELETS;

D O I：

10.1007/s40879-018-0220-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe three types of compactly supported wavelet frames associated with Walsh functions: (1) MRA-based tight frames, (2) frames obtained from the Daubechies-type admissible condition, and (3) frames based on the Walsh-Parseval type kernels. Parametric wavelet sets for Vilenkin groups and some related results are also discussed.

引用

页码：250 / 267

页数：18

共 29 条

[1]

Agaev G. H., 1981, Multiplicative Systems of Functions and Harmonic Analysis on 0-dimensional Groups

[2]

[Anonymous], CBMS NSF REGIONAL C

[3]

Dong D, 2013, IAS PARK CITY MATH S, P5

[4] Examples of frames on the cantor dyadic group [J].