在局部紧凑无性群上构建半正交小波框架

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-07-21 DOI:10.1007/s10231-024-01488-2

Satyapriya, Raj Kumar, Firdous A. Shah

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引用次数: 0

摘要

考虑到局部紧凑阿贝尔群（LCA）上小波的最新发展以及 LCA 群统一结构的适用性，我们提出了一种明确而有效的方法，用于构建 LCA 群上任意扩张的小波框架。我们将通过几个示例展示该方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Construction of semi-orthogonal wavelet frames on locally compact abelian groups

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Construction of semi-orthogonal wavelet frames on locally compact abelian groups

Keeping in view the recent developments of wavelets on locally compact Abelian groups (LCA) along with the applicability of the unifying structure of LCA groups, we present an explicit and efficient method for the construction of wavelet frames of arbitrary dilations on LCA groups. The method is exhibited via several illustrative examples.

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.