On Spectral multiplier theorem for sub-Laplacians with drift on Métivier groups
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917458602885120 |
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| author | Garg, Nishta Singh, Joydwip |
| author_facet | Garg, Nishta Singh, Joydwip |
| contents | In this paper, we prove a spectral multiplier theorem for sub-Laplacians with drift on Métivier groups. We improve the result of [Martini, Ottazzi and Vallarino, Rev. Mat. Iberoam, 2019] in case of Métivier groups, by reducing the required smoothness condition on the multiplier function from homogeneous dimension to the topological dimension of the underlying group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02556 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Spectral multiplier theorem for sub-Laplacians with drift on Métivier groups Garg, Nishta Singh, Joydwip Analysis of PDEs Functional Analysis 42B15, 43A85, 43A22 In this paper, we prove a spectral multiplier theorem for sub-Laplacians with drift on Métivier groups. We improve the result of [Martini, Ottazzi and Vallarino, Rev. Mat. Iberoam, 2019] in case of Métivier groups, by reducing the required smoothness condition on the multiplier function from homogeneous dimension to the topological dimension of the underlying group. |
| title | On Spectral multiplier theorem for sub-Laplacians with drift on Métivier groups |
| topic | Analysis of PDEs Functional Analysis 42B15, 43A85, 43A22 |
| url | https://arxiv.org/abs/2605.02556 |