Revisiting Landau's density theorems for Paley-Wiener spaces (Q432685)

The authors revisit Landau's density theorems for sampling and interpolation (cf. [\textit{H. J. Landau}, Acta Math. 117, 37--52 (1967; Zbl 0154.15301)]) and observe that while the sampling theorem is automatically expandable to the case of unbounded spectra, the corresponding problem for interpolation remained open. The authors present here a new and simple approach, which allows one to avoid Landau's spectral technique and put the results in a more general context.