Parametrix constructions for some classes of right-invariant differential operators on the heisenberg group
Parametrix constructions for some classes of right-invariant differential operators on the heisenberg group
复制标题
海森堡群上某些类右不变微分算子的参数矩阵构造
DOI：
10.1080/03605308108820214
复制
发表时间：
1981
影响因子：
1.9
通讯作者：
A. Melin
中科院分区：
文献类型：
--
作者：
A. Melin
2.引言。本文研究Heisenberg群H”上的微分算子P.我们始终假定P是右不变的，并且在~"的生成方向上是椭圆的。埃勒[2]证明了：若P对上的自然伸缩群是（拟）齐次的，则存在齐次分布E和H”so+"=+ LA&-L
2. Intr~ duction. In this paper we study differential operators P on the Heisenberg group H". It will be assumed throughout that P is right-invariant and elliptic in the generating directions for~".~ eller[2] proved that if in addition P is (quasi-) homogeneous wrt the natural-group of dilations on then there are homogeneous distributions E and on H" so+"=+ LA&-L