The filter of singularities in global anisotropic microlocal analysis
Analysis of PDEs
2026-04-22 v1 Functional Analysis
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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Cite
@article{arxiv.2604.19619,
title = {The filter of singularities in global anisotropic microlocal analysis},
author = {Luigi Rodino and Patrik Wahlberg},
journal= {arXiv preprint arXiv:2604.19619},
year = {2026}
}
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48 pages