Stability of global wave front sets by perturbations of frames
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917467301871616 |
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| author | Boiti, Chiara Jornet, David Oliaro, Alessandro |
| author_facet | Boiti, Chiara Jornet, David Oliaro, Alessandro |
| contents | In this paper we consider the Gabor wave front set of ultradistributions in the frame of ultradifferentiable functions. We prove that such a wave front set, defined through a Gabor frame on a regular lattice, is not affected by perturbations of the frame, in two different cases: when we consider $\varepsilon$-perturbations of Christensen type, and when we consider nonstationary Gabor frames. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11364 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Stability of global wave front sets by perturbations of frames Boiti, Chiara Jornet, David Oliaro, Alessandro Functional Analysis In this paper we consider the Gabor wave front set of ultradistributions in the frame of ultradifferentiable functions. We prove that such a wave front set, defined through a Gabor frame on a regular lattice, is not affected by perturbations of the frame, in two different cases: when we consider $\varepsilon$-perturbations of Christensen type, and when we consider nonstationary Gabor frames. |
| title | Stability of global wave front sets by perturbations of frames |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2601.11364 |