Cyclicity in ${\ell }^p$ spaces and zero sets of the Fourier transforms

Florian Le Manach

We study the cyclicity of vectors $u$ in ${\ell }^p(\mathbb{Z})$. It is known that a vector $u$ is cyclic in ${\ell }^2(\mathbb{Z})$ if and only if the zero set, $\mathcal{Z}(\widehat{u}…