CONVOLUTION EQUATIONS IN A HALFSPACE
A I Šnirel'man · Mathematics of the USSR-Sbornik · 1970
In this paper a necessary and sufficient condition is found for a function to have a factorization such that both factors are bounded from above and from below by power functions; an easily verifiable sufficient condition is also given. Further, the limits of validity of the Wiener-Hopf method are shown for equations in a halfspace with kernel depending on the difference of the arguments. Bibliography: 14 items.