3 problems

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de Branges' conjecture that (H1) implies (H2)
A Hilbert space of entire functions satisfies axiom (H1), which asserts that, whenever $F$ belongs to the space and $w$ is not real, the function … belongs to the space with no lar…
Conjectureopende-branges-spaces functional-analysisarXiv posted 2 days ago
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Conjecture on convergence of interpolation series in $L^p$ de Branges spaces
Let $E$ be a Hermite–Biehler function, let $p\in[1,\infty]$ , and let $E^\nu$ denote the associated function used in the interpolation series for $F\in\mathcal{H}^p(E^\nu)$ . Interpo…
Conjectureopende-branges-spaces functional-analysis interpolation-formulasarXiv posted 2 days ago
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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

de Branges' conjecture that (H1) implies (H2)