Multiresolution analysis, self-similar tilings and Haar wavelets on the Heisenberg group

Heping Liu; Yu Liu; Haihui Wang

doi:10.1016/S0252-9602(09)60102-8

Multiresolution analysis, self-similar tilings and Haar wavelets on the Heisenberg group

Heping Liu
, Yu Liu^*
, Haihui Wang

^*此作品的通讯作者

数学科学学院

Peking University
University of Science and Technology Beijing

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L²(ℍ^d) by using self-similar tilings for the acceptable dilations on the Heisenberg group.

源语言	英语
页（从-至）	1251-1266
页数	16
期刊	Acta Mathematica Scientia
卷	29
期	5
DOI	https://doi.org/10.1016/S0252-9602(09)60102-8
出版状态	已出版 - 9月 2009

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10.1016/S0252-9602(09)60102-8

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title = "Multiresolution analysis, self-similar tilings and Haar wavelets on the Heisenberg group",

abstract = "In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L2(ℍd) by using self-similar tilings for the acceptable dilations on the Heisenberg group.",

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author = "Heping Liu and Yu Liu and Haihui Wang",

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T1 - Multiresolution analysis, self-similar tilings and Haar wavelets on the Heisenberg group

AU - Liu, Heping

AU - Liu, Yu

AU - Wang, Haihui

PY - 2009/9

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N2 - In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L2(ℍd) by using self-similar tilings for the acceptable dilations on the Heisenberg group.

AB - In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L2(ℍd) by using self-similar tilings for the acceptable dilations on the Heisenberg group.

KW - 42C15

KW - 42C40

KW - 43A15

KW - 52C99

KW - Heisenberg group

KW - multiresolution analysis

KW - self-similar tilings

KW - wavelets

UR - https://www.scopus.com/pages/publications/65449129390

U2 - 10.1016/S0252-9602(09)60102-8

DO - 10.1016/S0252-9602(09)60102-8

M3 - 文章

AN - SCOPUS:65449129390

SN - 0252-9602

VL - 29

SP - 1251

EP - 1266

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 5

ER -

Multiresolution analysis, self-similar tilings and Haar wavelets on the Heisenberg group

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