The filter of singularities in global anisotropic microlocal analysis
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866915947720212480 |
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| author | Rodino, Luigi Wahlberg, Patrik |
| author_facet | Rodino, Luigi Wahlberg, Patrik |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19619 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The filter of singularities in global anisotropic microlocal analysis Rodino, Luigi Wahlberg, Patrik Analysis of PDEs Functional Analysis 46F05, 46F12, 35A27, 47G30, 35S05, 35A18, 81S30, 58J47, 47D06 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. |
| title | The filter of singularities in global anisotropic microlocal analysis |
| topic | Analysis of PDEs Functional Analysis 46F05, 46F12, 35A27, 47G30, 35S05, 35A18, 81S30, 58J47, 47D06 |
| url | https://arxiv.org/abs/2604.19619 |