翻译框架及其L2(G)规范对偶

Int. J. Wavelets Multiresolution Inf. Process. Pub Date : 2021-06-19 DOI:10.1142/S0219691321500296

Majid Jabbar Saadan, M. Janfada, R. A. Kamyabi-Gol

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引用次数: 0

摘要

设[公式:见文本]是一个局部紧群。本研究旨在研究空间翻译框架的一些重要性质[公式:见文]。同时，我们证明了在[Formula: see text]具有收缩自同构的情况下，翻译的框架可以是[Formula: see text]的适当子空间的框架。进一步，我们刻画了这类系统的框架性质，并找到了典型对偶框架的表达式。

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Frame of translates and its canonical dual in L2(G)

Let [Formula: see text] be a locally compact group. This work aims to study some important properties of the frame of translates for the space [Formula: see text]. Also, we showed that the frame of translates can be a frame for a proper subspace of [Formula: see text], in the case that [Formula: see text] has a contractive automorphism. Furthermore, we characterize the frame properties for such systems and find an expression for the canonical dual frame.

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Int. J. Wavelets Multiresolution Inf. Process.

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