Methods of construction of exponential bases on planar domains
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916721697226752 |
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| author | Asipchuk, Oleg De Carli, Laura |
| author_facet | Asipchuk, Oleg De Carli, Laura |
| contents | In this paper, we survey and refine several results -- some previously established in the literature -- that facilitate the construction of exponential bases on planar domains with explicit control over the associated frame bounds. We apply our techniques to construct well-conditioned exponential bases on certain planar sets that multi-tile the plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00870 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Methods of construction of exponential bases on planar domains Asipchuk, Oleg De Carli, Laura Functional Analysis 42C15, 42C30 In this paper, we survey and refine several results -- some previously established in the literature -- that facilitate the construction of exponential bases on planar domains with explicit control over the associated frame bounds. We apply our techniques to construct well-conditioned exponential bases on certain planar sets that multi-tile the plane. |
| title | Methods of construction of exponential bases on planar domains |
| topic | Functional Analysis 42C15, 42C30 |
| url | https://arxiv.org/abs/2505.00870 |