On sampling and interpolation by model sets
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866912013728350208 |
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| author | Richard, Christoph Schumacher, Christoph |
| author_facet | Richard, Christoph Schumacher, Christoph |
| contents | We refine a result of Matei and Meyer on stable sampling and stable interpolation for simple model sets. Our setting is model sets in locally compact abelian groups and Fourier analysis of unbounded complex Radon measures as developed by Argabright and de Lamadrid. This leads to a refined version of the underlying model set duality between sampling and interpolation. For rather general model sets, our methods also yield an elementary proof of stable sampling and stable interpolation sufficiently far away from the critical density, which is based on the Poisson Summation Formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1809_10750 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On sampling and interpolation by model sets Richard, Christoph Schumacher, Christoph Functional Analysis Mathematical Physics 43A25, 52C23 We refine a result of Matei and Meyer on stable sampling and stable interpolation for simple model sets. Our setting is model sets in locally compact abelian groups and Fourier analysis of unbounded complex Radon measures as developed by Argabright and de Lamadrid. This leads to a refined version of the underlying model set duality between sampling and interpolation. For rather general model sets, our methods also yield an elementary proof of stable sampling and stable interpolation sufficiently far away from the critical density, which is based on the Poisson Summation Formula. |
| title | On sampling and interpolation by model sets |
| topic | Functional Analysis Mathematical Physics 43A25, 52C23 |
| url | https://arxiv.org/abs/1809.10750 |