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arXiv · 2603.14679

Complete interpolating sequences for Fock type spaces

Karim Kellay·Youssef Omari
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Abstract

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.

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Karim Kellay, Youssef Omari. 2026-03-16. Complete interpolating sequences for Fock type spaces. https://arxiv.org/abs/2603.14679

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