Dilation-and-modulation Parseval frames in the half space

Dilation-and-modulation Parseval frames in the half space
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DOI：
10.1142/s0219691322500369
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发表时间：
2023
期刊：
International Journal of Wavelets, Multiresolution and Information Processing
影响因子：
--
通讯作者：
Ya-Nan Li
Ya-Nan Li
中科院分区：
--
文献类型：
--
作者：
Yun-Zhang Li;Ya-Nan Li

文献摘要

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Due to [Formula: see text not being a group under addition, [Formula: see text admits no traditional wavelet or Gabor frame. This paper addresses a class of dilation-and-modulation ([Formula: see text) Parseval frames for [Formula: see text. We present a parametric expression of all [Formula: see text-Parseval frames (frame sequences) and [Formula: see text-orthonormal bases (systems); and develop an approach to obtain all [Formula: see text-Parseval frames (frame sequences) and [Formula: see text-orthonormal bases (systems) starting with one [Formula: see text-Parseval frame for [Formula: see text.