Phase space localizing operators
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913236619624448 |
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| author | Fraccaroli, Marco Saari, Olli Thiele, Christoph |
| author_facet | Fraccaroli, Marco Saari, Olli Thiele, Christoph |
| contents | We construct phase space localizing operators in all dimensions. These are frequency localized variants of the conditional expectation operator related to a dyadic stopping time. Our construction is an improvement over the so-called phase plane projections of Muscalu, Tao and the third author in one dimension. The motivation for such operators comes from time-frequency analysis. They are used in particular to prove uniform estimates for multilinear modulation invariant operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_16164 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Phase space localizing operators Fraccaroli, Marco Saari, Olli Thiele, Christoph Classical Analysis and ODEs 42B15, 42C15 We construct phase space localizing operators in all dimensions. These are frequency localized variants of the conditional expectation operator related to a dyadic stopping time. Our construction is an improvement over the so-called phase plane projections of Muscalu, Tao and the third author in one dimension. The motivation for such operators comes from time-frequency analysis. They are used in particular to prove uniform estimates for multilinear modulation invariant operators. |
| title | Phase space localizing operators |
| topic | Classical Analysis and ODEs 42B15, 42C15 |
| url | https://arxiv.org/abs/2210.16164 |