Shift-invariant sampling in two-sided small Fock spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908676986503168 |
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| author | Belov, Yurii Mironov, Mikhail |
| author_facet | Belov, Yurii Mironov, Mikhail |
| contents | We consider the sampling problem for two-sided small Fock spaces $\mathcal{F}^p_α$, for the full range $0 < p \le \infty$. We establish a geometric description of shift-invariant sampling sequences, i.e., sequences $Λ$ such that $c Λ$ is sampling for all $c \in \mathbb{C} \setminus \{ 0 \}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20485 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shift-invariant sampling in two-sided small Fock spaces Belov, Yurii Mironov, Mikhail Functional Analysis Complex Variables We consider the sampling problem for two-sided small Fock spaces $\mathcal{F}^p_α$, for the full range $0 < p \le \infty$. We establish a geometric description of shift-invariant sampling sequences, i.e., sequences $Λ$ such that $c Λ$ is sampling for all $c \in \mathbb{C} \setminus \{ 0 \}$. |
| title | Shift-invariant sampling in two-sided small Fock spaces |
| topic | Functional Analysis Complex Variables |
| url | https://arxiv.org/abs/2511.20485 |