Parametrices for hypoelliptic operators on step to nilpotent lie groups
Parametrices for hypoelliptic operators on step to nilpotent lie groups
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渐进幂零李群的亚椭圆算子的参数
DOI：
10.1080/03605308008820166
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发表时间：
1980
影响因子：
1.9
通讯作者：
K. Miller
中科院分区：
文献类型：
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作者：
K. Miller
设P是二阶连通单连通幂零李群G上的亚椭圆左不变微分算子，P关于相应李代数上的某类扩张是齐次的.在Beals [I]的一般微积分的框架内，构造了一类包含P和P的左参数的伪微分算子族.在本文的第一节中，证明了如果P关于上的某个伸缩算子族是m次齐次的.（不限于第二步的情况），那么3可以这样一种方式分级，对于一些M，P是均匀的程度M相对于自然膨胀的分级。然后，从
Let P be a hypoelliptic left invariant differential operator on a two step connected simply connected nilpotent Lie group G, P homogeneous with respect to some family of dilations on the cor; esponding Lie algebra. Within the framework of the general calculus of Beals [I], a family of pseudodifferential operators will be constructed that contains P and a left parametrix for P. In the first section of the paper it is shown that if P is homogeneous of degree m with respect to some family of dilations on. &(without restriction to the step two case), then 3 can be graded in such a way that for some M, P is homogeneous of degree M with respect to the natural dilations for the grading. It then follows from the
DOI：
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发表时间：
2006
期刊：
影响因子：
--
作者：
Takuya Hosokawa;Shuichi Ohno;Hidenori Fujiwara;藤原 英徳;Hidenori Fujiwara;藤原英徳;Hidenori Fujiwara;H.Fujiwara;Hidenori Fujiwara;Hidenori Fujiwara;Hidenori Fujiwara;Hidenori Fujiwara;藤原 英徳;Hidenori Fujiwara
通讯作者：
Hidenori Fujiwara