Kadec-1/4 Theorem for Sinc Bases

Antonio Avantaggiati, Paola Loreti, Pierluigi Vellucci

In this paper we show two results. In the first result we consider ${\lambda }_n-n=\frac{A}{n^{\alpha }}$ for $n\in \mathbb{N}$; if $\alpha >1/2$ and $0<A<\frac{1}{\pi \sqrt{2\sqrt{2}\zeta (2\alpha )}}$, the system $\l…