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arXiv 1007.3528math.FA
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具有相空间覆盖的共轨空间的特征

Characterization of coorbit spaces with phase-space covers

José Luis Romero

摘要:

我们发现,共轨空间的特点是在任意的相空间覆盖,这是家庭的相空间乘数与分区的单位。这概括了以前已知的时间-频率分析的结果,包括时间尺度分解。作为一个副产品,我们扩展了现有的时间-频率分析结果的不规则设置。

英文摘要:

We show that coorbit spaces can be characterized in terms of arbitrary phase-space covers, which are families of phase-space multipliers associated with partitions of unity. This generalizes previously known results for time-frequency analysis to include time-scale decompositions. As a by-product, we extend the existing results for time-frequency analysis to an irregular setting.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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