2 problems

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Feichtinger's conjecture for sampling sequences in de Branges spaces
A de Branges space $H(E)$ is determined by a Hermite–Biehler function $E$ . A sequence in the setting under discussion is sampling if it supports stable sampling in $H(E)$ , and inte…
Conjecturerefutedde-branges-spaces sampling-interpolationarXiv posted 2 days ago
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Gröchenig–Lyubarskii density conjecture for Hermite Gabor frames on lattices
Gröchenig–Lyubarskii conjecture. For a lattice $\Lambda$ in $\mathbb{R}^2$ , the existence of a Gabor frame generated by $h_n$ should force its Beurling density to satisfy…
Conjectureopenbargmann-fock-spaces gabor-frames sampling-interpolationarXiv posted 2 days ago

Feichtinger's conjecture for sampling sequences in de Branges spaces