论文标题

双帧乘数乘数的本地化

Localization of the spectra of dual frames multipliers

论文作者

Corso, Rosario

论文摘要

本文涉及双帧乘数,即希尔伯特空间中的操作员,包括分析,乘法和合成过程,其中分析和合成分别由两个双帧进行。本文的目的是提供一些有关双帧乘数光谱的定位的结果,即使用有关帧和符号的一些信息,将包含光谱的复合平面区域的个体区域。

This paper concerns dual frames multipliers, i.e. operators in Hilbert spaces consisting of analysis, multiplication and synthesis processes, where the analysis and the synthesis are made by two dual frames, respectively. The goal of the paper is to give some results about the localization of the spectra of dual frames multipliers, i.e. to individuate regions of the complex plane containing the spectra using some information about the frames and the symbols.

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