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arXiv · 2604.19619

The filter of singularities in global anisotropic microlocal analysis

Luigi Rodino·Patrik Wahlberg
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Abstract

We define a filter of time-frequency anisotropic global singularities of phase space for tempered distributions. The filter contains information from the corresponding anisotropic Gabor wave front set and admits propagation results for the Cauchy problem for certain linear evolution equations of Schr\"odinger type that generalize the harmonic oscillator.

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Luigi Rodino, Patrik Wahlberg. 2026-04-21. The filter of singularities in global anisotropic microlocal analysis. https://arxiv.org/abs/2604.19619

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