Differential and falsified sampling expansions

Yu. Kolomoitsev, A. Krivoshein, M. Skopina

Differential and falsified sampling expansions ${\sum }_{k\in {\mathbb{Z}}^d}{c}_k\varphi (M^{j}x+k)$, where $M$ is a matrix dilation, are studied. In the case of differential expansions, $c_k=Lf(…