On the ${\ell }^{\infty }$-norms of the Singular Vectors of Arbitrary Powers of a Difference Matrix with Applications to Sigma-Delta Quantization

Theodore Faust, Mark Iwen, Rayan Saab +1

Let $\Vert A{\Vert }_{\max }:={\max }_{i,j}|A_{i,j}|$ denote the maximum magnitude of entries of a given matrix $A$. In this paper we show that $$\max \left\{ \|U_r \|_{\max},\|V_r\|_{\max}…