论文标题

小组的时频分析

Time-frequency analysis on groups

论文作者

Turunen, Ville

论文摘要

相位空间分析或时频分析可以被认为是傅立叶分析在时间和频率上同时分析,源自信号处理和量子力学。在具有统一傅立叶变换的群体上,我们介绍和研究自然的时频变换家族,并研究相关的伪差异操作员。

Phase-space analysis or time-frequency analysis can be thought as Fourier analysis simultaneously both in time and in frequency, originating from signal processing and quantum mechanics. On groups having unitary Fourier transform, we introduce and study a natural family of time-frequency transforms, and investigate the related pseudo-differential operators.

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