$l^{2}\左(\mathbb{Z}\右)$上算子的协变和逆变符号

Fundamental Journal of Mathematics and Applications Pub Date : 2020-12-15 DOI:10.33401/fujma.718157

A. S. Elmabrok

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摘要

本文研究了整数群$\mathbb{Z}$的表示所产生的算子的协变和逆变符号。然后我们描述了这些算子的一些性质(存在性、唯一性、有界性、紧性和有限秩)，并用小波变换(协变符号和逆变符号)重新表述了一些已知的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Covariant and Contravariant Symbols of Operators on $l^{2}\left(\mathbb{Z}\right)$

In this paper, we investigate covariant and contravariant symbols of operators generated by a representation of the integer group $\mathbb{Z}$. Then we describe some properties (Existence, Uniquenes s, Boundedness, Compactnessi and Finite rank) of these operators and reformulated some know results in terms of wavelet transform (covariant and contravariant symbols).

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Fundamental Journal of Mathematics and Applications

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