paper

The filter of singularities in global anisotropic microlocal analysis

arXiv:2604.19619

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 Schrödinger type that generalize the harmonic oscillator.

arXiv comment48 pages