2 papers
math.CA2011
A few remarks on sampling of signals with small spectrum
Shahaf Nitzan, Alexander Olevskii, Alexander Ulanovskii
Given a set of small measure, we discuss existence of sampling sequences for the Paley-Wiener space , which have both densities and sampling bounds close to the optimal o…
math.CA2011
Sampling and interpolation in de Branges spaces with doubling phase
Jordi Marzo, Shahaf Nitzan, Jan-Fredrik Olsen
The de Branges spaces of entire functions generalise the classical Paley-Wiener space of square summable bandlimited functions. Specifically, the square norm is computed on the rea…