In this paper,a study on the spectrum of a class of six-order left-definite differential operators is presented.
本文研究了一类六阶左定微分算子的谱,利用krein空间中不定微分算子的特征以及左定微分算子与右定微分算子的关系,得到结论:自伴边界条件的六阶左定微分算子的特征值均为实数,而且上无界下无界,且算子的特征值可以排序为…≤λ-2≤λ-1≤λ-0<0<λ0≤λ1≤λ2≤
In this paper, We obtain a sufficient and necessary condition for subellipticity of a classes of left invariant differential operators on two stratified steps nilpotent Lie groups by the method of representative theory method of nilpotent Lie groups.
本文我们用幂零李群表示的方法，给出了二步幂零李群上一类左不变微分算子是亚椭圆的充要条件。
In this paper some necessary conditions are given on local solvability of nonhomogeneous left invariant differential operators with a comparatively general form on the Heisenberg group.
本文给出了Ｈｅｉｓｅｎｂｅｒｇ群上形式相当一般的一类非齐次左不变微分算子局部可解的必要条件。