The multiplicative products between the Distribution (P ± i0)^{\lambda} and the Operators L^r{\delta} and K^r{\delta}
The multiplicative products between the Distribution (P ± i0)^{\lambda} and the Operators L^r{\delta} and K^r{\delta}
Abstract
In this note we give a sense to some multiplicative products of distributions:i) (P ± i0)^{\lambda} . L^r {\delta}ii) (P± i0) ^{\lambda} . K^r{\delta }where (P ± i0)^{\lambda} 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). En esta nota damos sentido a algunos productos multiplicativos de distribuciones:i) (P ± i0)^{\lambda} . L^r {\delta}ii) (P± i0) ^{\lambda} . K^r{\delta }donde (P ± i0)^{\lambda} es la distribución definida en la fórmula (2), P es la forma cuadrática definida en la fórmula (1), L^r es el operador ultrahiperbólico definido por (5) y K^r es el operador de klein- Gordon iterado r veces y definido por la fórmula (15).