在正特征局部域上的索波列夫空间中的多级小波包

IF 0.9 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2024-08-17 DOI:10.1007/s13370-024-01211-7

Ashish Pathak, Guru P. Singh

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引用次数: 0

摘要

Pathak 和 Singh [9] 提出了多分辨率分析（MRA）和正特征局部域上 Sobolev 空间（\(H^s(\mathbb {K})\）中的小波概念。］在本文中，我们在 Sobolev 空间 \(H^s(\mathbb {K})\ 中构造了小波包，并推导出了它们在每个层次上的正交性。通过使用卷积理论，我们给出了一个 \(H^s(\mathbb {K})\) 中的小波包实例

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Multilevel wavelet packets in sobolev space over local fields of positive characteristic

The concepts of multiresolution analysis (MRA) and wavelets in Sobolev space over local fields of positive characteristic (\(H^s(\mathbb {K})\)) are developed by Pathak and Singh [9]. In this paper, we constructed wavelet packets in Sobolev space \(H^s(\mathbb {K})\) and derived their orthogonality at each level. By using convolution theory, an example of wavelet packets in \(H^s(\mathbb {K})\) is presented

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量