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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.20035 |
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| _version_ | 1866912785286299648 |
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| author | Lang, Jayden Tang, Wan |
| author_facet | Lang, Jayden Tang, Wan |
| contents | In this paper, we consider the (1+2)-dimensional oscillatory integral with degenerate cubic homogeneous polynomial phase. We prove that the $L^{2}$ decay rate of 3/8 given in (Archiv der Mathematik, 122: 437-447, 2024) is sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20035 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp $L^2$ decay rate for (1+2)-dimensional oscillatory integral operators with cubic polynomial phases Lang, Jayden Tang, Wan Classical Analysis and ODEs In this paper, we consider the (1+2)-dimensional oscillatory integral with degenerate cubic homogeneous polynomial phase. We prove that the $L^{2}$ decay rate of 3/8 given in (Archiv der Mathematik, 122: 437-447, 2024) is sharp. |
| title | Sharp $L^2$ decay rate for (1+2)-dimensional oscillatory integral operators with cubic polynomial phases |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2512.20035 |