Seminario del 2026
Giugno
dal giorno
15/06/2026
al giorno
19/06/2026
15/06/2026
al giorno
19/06/2026
Karim Kellay
Complete Interpolating Sequences for Fock Type Spaces
analisi matematica
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.
This is joint work with Y. Omari