The spectral radius of a multivariate sampling operator (Q1827516)

The author provides an upper bound on the spectral radius of a multivariate sampling operator \(S_h(M):f(\theta) \to h(\theta)f(\theta M)\), where \(f\in L^2(I_s)\), \(s\) is a natural number, \(I_s=[0,2\pi )^s\), \(\theta \in I_s\), \(M\) is an \(s\times s\) matrix with integer entries and \(h\) is a complex valued multivariate trigonometric polynomial on \(I_s\).