The separation of zeros for finite functions of exponential type (Q1092201)

Let f be a real entire function. By the Paley-Wiener theorem f is of exponential type \(\sigma\) and belongs to \(L^ 2({\mathbb{R}})\) if and only if \[ f(z) = (1/2\pi)\int^{\sigma}_{-\sigma}e^{izt} \phi (t)dt, \] where \(\phi\) belongs to \(L^ 2(-\sigma,\sigma)\). In the paper under review, the author studies how the oscillatory properties of f depend of \(\sigma\).