The left invariant differential operators on a nilpotent Lie group which is elliptic on the generating direction have been widely studied, but little has been performed on the other kinds of differential operators [8]...The left invariant differential operators on a nilpotent Lie group which is elliptic on the generating direction have been widely studied, but little has been performed on the other kinds of differential operators [8]. UP to now, no example which is nonhomogenerous differential operators is available. In this paper. One left invariant differential operator not of transitive elliptic type is studied, and one of its fundamental solutions is given by the method of representations of nilpotent Lie groups.展开更多
文摘The left invariant differential operators on a nilpotent Lie group which is elliptic on the generating direction have been widely studied, but little has been performed on the other kinds of differential operators [8]. UP to now, no example which is nonhomogenerous differential operators is available. In this paper. One left invariant differential operator not of transitive elliptic type is studied, and one of its fundamental solutions is given by the method of representations of nilpotent Lie groups.
