On the space of periodic distributions with multi-dimensional wavelet packet transform

被引：3

作者：

Moorthy, R. Subash ^{[1
]}

机构：

[1] Amrita Vishwa Vidhyapeetham, Dept Math, Amrita Sch Engn, Coimbatore, Tamil Nadu, India

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 01期

关键词：

Wavelet packet transform; Periodic distribution;

D O I：

10.1007/s41478-022-00473-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The multi-dimensional wavelet packet transform on the space of infinitely differentiable 2 pi periodic functions is defined and extended to periodic distributions by giving justification to its continuity. Properties of the extended transform under weak* topology are discussed.

引用

页码：591 / 616

页数：26

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