Dynamical sampling, derivatives, and interpolation formulas in the Paley--Wiener space
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917529425805312 |
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| author | Gardeazabal-Gutiérrez, Iker Sousa, Mateus |
| author_facet | Gardeazabal-Gutiérrez, Iker Sousa, Mateus |
| contents | In this paper we present a criteria to obtain interpolations formulas in terms of the sequence $\left(\{T_n(f)(Nm)\}\}_{m\in\mathbb{Z}}\right)_{n=1}^N$, where $f$ are functions whose Fourier transform is supported in $[-1/2,1/2]$, and $T_n$ are certain Fourier multiplier operators. We also discuss applications and also prove that our results recover several classical formulas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16195 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical sampling, derivatives, and interpolation formulas in the Paley--Wiener space Gardeazabal-Gutiérrez, Iker Sousa, Mateus Classical Analysis and ODEs 42C10 In this paper we present a criteria to obtain interpolations formulas in terms of the sequence $\left(\{T_n(f)(Nm)\}\}_{m\in\mathbb{Z}}\right)_{n=1}^N$, where $f$ are functions whose Fourier transform is supported in $[-1/2,1/2]$, and $T_n$ are certain Fourier multiplier operators. We also discuss applications and also prove that our results recover several classical formulas. |
| title | Dynamical sampling, derivatives, and interpolation formulas in the Paley--Wiener space |
| topic | Classical Analysis and ODEs 42C10 |
| url | https://arxiv.org/abs/2506.16195 |