论文标题

Gabor Wave Front套装的介绍

An introduction to the Gabor wave front set

论文作者

Rodino, Luigi, Trapasso, S. Ivan

论文摘要

在此说明中,我们介绍了Gabor Wave Front集的介绍。通常,微局部分析中的该工具以不同的形式引入和重新发明,这些工具被证明是等效或密切相关的。我们对该概念的历史进行了简短的审查,然后重点介绍了一些受时间频空间启发的最新变化。提出了旧的和新的结果,以及许多具体的示例和应用奇异性问题的应用。

In this expository note we present an introduction to the Gabor wave front set. As is often the case, this tool in microlocal analysis has been introduced and reinvented in different forms which turn out to be equivalent or intimately related. We provide a short review of the history of this notion and then focus on some recent variations inspired by function spaces in time-frequency analysis. Old and new results are presented, together with a number of concrete examples and applications to the problem of propagation of singularities.

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