Uncertainty Principles on Harmonic Manifolds of Rank One
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910581857976320 |
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| author | Brammen, Oliver |
| author_facet | Brammen, Oliver |
| contents | We show various uncertainty principles for the Fourier transform on harmonic manifolds of rank one. In particular, we derive a Heisenberg uncertainty principle, a Morgen theorem, an uncertainty principle for the Schrödinger equation and a version of Hömanders theorem. Furthermore, we generalise the in the Euclidean case well-known Hausdorff-Young inequality for the Fourier transform, to harmonic manifolds of rank one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16324 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uncertainty Principles on Harmonic Manifolds of Rank One Brammen, Oliver Differential Geometry We show various uncertainty principles for the Fourier transform on harmonic manifolds of rank one. In particular, we derive a Heisenberg uncertainty principle, a Morgen theorem, an uncertainty principle for the Schrödinger equation and a version of Hömanders theorem. Furthermore, we generalise the in the Euclidean case well-known Hausdorff-Young inequality for the Fourier transform, to harmonic manifolds of rank one. |
| title | Uncertainty Principles on Harmonic Manifolds of Rank One |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2408.16324 |