Small degree solutions for the polynomial Bezout equation (Q1101491)

As it follows from the Nullstellensatz, if n-variate polynomials \(P_ 1,...,P_ m\) have no common zeros in \({\mathbb{C}}^ n\) then \((1)\quad P_ 1Q_ 1+...+P_ mQ_ m=1\) for appropriate \(Q_ 1,...,Q_ m\). - The paper under review contains an overview of ideas for explicit construction of such \(Q_ i\) of smallest possible degree. It is noted that by the Fourier transformation (1) is equivalent to the important convolution equation \(\mu_ 1*\nu_ 1+...+\mu_ m*\nu_ m=\delta\).