The multiplicative products between the distribution (P ± i0)λ and the operators Lr{δ} and Kr{δ}

Abstract

In this note we give a sense to some multiplicative products of distributions:

i) (P ± i0)^λ . L^r{δ}

ii) (P ± i0)^λ . K^r{δ}

where (P ± i0)^λ is the distribution defined by the formula (2), P is the quadratic form defined by the formula (1), L^r is the ultrahyperbolic operator defined by (5) and K^r is the Klein-Gordon operator iterated r-times defined by the formula (15).