Counting function estimates for coherent frames and Riesz sequences
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866916519360856064 |
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| author | Papageorgiou, Effie van Velthoven, Jordy Timo |
| author_facet | Papageorgiou, Effie van Velthoven, Jordy Timo |
| contents | We prove various estimates for the asymptotics of counting functions associated to point sets of coherent frames and Riesz sequences. The obtained results recover the necessary density conditions for coherent frames and Riesz sequences for general unimodular amenable groups, while providing more precise estimates under additional localization conditions on the coherent system for groups of polynomial growth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13540 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Counting function estimates for coherent frames and Riesz sequences Papageorgiou, Effie van Velthoven, Jordy Timo Functional Analysis Classical Analysis and ODEs We prove various estimates for the asymptotics of counting functions associated to point sets of coherent frames and Riesz sequences. The obtained results recover the necessary density conditions for coherent frames and Riesz sequences for general unimodular amenable groups, while providing more precise estimates under additional localization conditions on the coherent system for groups of polynomial growth. |
| title | Counting function estimates for coherent frames and Riesz sequences |
| topic | Functional Analysis Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2407.13540 |