On geometry of the unit ball of Paley-Wiener space over two symmetric intervals

Alexander Ulanovskii, Ilya Zlotnikov

Let $P{W}_S^1$ be the space of integrable functions on $\mathbb{R}$ whose Fourier transform vanishes outside $S$, where $S=[-\sigma ,-\rho ]\cup [\rho ,\sigma ]$, $0<\rho <\sigma$. In the case $\rho >\sigma /2$, we prese…