Complete interpolating sequences for Fock type spaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917359034302464 |
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| author | Kellay, Karim Omari, Youssef |
| author_facet | Kellay, Karim Omari, Youssef |
| contents | We obtain a characterization of complete interpolating sequences in a class of Fock-type spaces with radial weights for which such sequences exist. Our criterion is formulated in terms of logarithmic separation and controlled perturbations of a reference sequence satisfying an Avdonin-type condition. This provides a geometric description of complete interpolating sequences and extends previous results of Borichev--Lyubarskii and Baranov--Belov--Borichev on Riesz bases of reproducing kernels in Fock-type spaces. It also yields explicit density criteria for sampling and interpolating sequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14679 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Complete interpolating sequences for Fock type spaces Kellay, Karim Omari, Youssef Complex Variables Functional Analysis We obtain a characterization of complete interpolating sequences in a class of Fock-type spaces with radial weights for which such sequences exist. Our criterion is formulated in terms of logarithmic separation and controlled perturbations of a reference sequence satisfying an Avdonin-type condition. This provides a geometric description of complete interpolating sequences and extends previous results of Borichev--Lyubarskii and Baranov--Belov--Borichev on Riesz bases of reproducing kernels in Fock-type spaces. It also yields explicit density criteria for sampling and interpolating sequences. |
| title | Complete interpolating sequences for Fock type spaces |
| topic | Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2603.14679 |