Spectral synthesis with the complexity parameter in ${\mathbb{Z}}_N^d$

Alex Iosevich, Zhihe Li, Ke Yu

We study asymptotic spectral synthesis on ${\mathbb{Z}}_N^d$ using the Fourier ratio, the quotient of the counting-measure ${\ell }^1$ and ${\ell }^2$ norms of the unitary Fourier transform…