On discrete holomorphic Paley-Wiener spaces and sampling on the square lattice
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912480305872896 |
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| author | Monguzzi, Alessandro Monti, Matteo |
| author_facet | Monguzzi, Alessandro Monti, Matteo |
| contents | We consider a reproducing kernel Hilbert space of discrete entire functions on the square lattice $\mathbb Z^2$ inspired by the classical Paley-Wiener space of entire functions of exponential growth in the complex plane. For such space we provide a Paley-Wiener type characterization and a sampling result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18390 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On discrete holomorphic Paley-Wiener spaces and sampling on the square lattice Monguzzi, Alessandro Monti, Matteo Complex Variables Classical Analysis and ODEs 30G25, 39A12, 30D15, 30H99 We consider a reproducing kernel Hilbert space of discrete entire functions on the square lattice $\mathbb Z^2$ inspired by the classical Paley-Wiener space of entire functions of exponential growth in the complex plane. For such space we provide a Paley-Wiener type characterization and a sampling result. |
| title | On discrete holomorphic Paley-Wiener spaces and sampling on the square lattice |
| topic | Complex Variables Classical Analysis and ODEs 30G25, 39A12, 30D15, 30H99 |
| url | https://arxiv.org/abs/2501.18390 |