Some Results of Cubic Family of Pseudo Differential Operators

Abstract

In this paper, we recall the results related to the quadratic family of pseudo-differential operators, and we gave similar results for to the cubic family of pseudo-differential operators, also we benefited from the facilities obtained by using the pseudo-differential operators. We define the pseudo-differential operator on Rn by using some particular kind of functions known as symbol with some examples. At the end, we explain the hypotheses on the class of symbols and minimal decreasing ray to prove the existence of a total system of eigenvectors