Existence of resonances for Schrodinger operators on hyperbolic space
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866910538248749056 |
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| author | Borthwick, David Wang, Yiran |
| author_facet | Borthwick, David Wang, Yiran |
| contents | We prove existence results and lower bounds for the resonances of Schrödinger operators associated to smooth, compactly support potentials on hyperbolic space. The results are derived from a combination of heat and wave trace expansions and asymptotics of the scattering phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_06370 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Existence of resonances for Schrodinger operators on hyperbolic space Borthwick, David Wang, Yiran Spectral Theory 58J50, 35P25 We prove existence results and lower bounds for the resonances of Schrödinger operators associated to smooth, compactly support potentials on hyperbolic space. The results are derived from a combination of heat and wave trace expansions and asymptotics of the scattering phase. |
| title | Existence of resonances for Schrodinger operators on hyperbolic space |
| topic | Spectral Theory 58J50, 35P25 |
| url | https://arxiv.org/abs/2110.06370 |