| 1. | Boundedness of some operators on the heisenberg group
群上一类算子的有界性 |
| 2. | Growth estimates to subelliptic p - laplace equations on heisenberg group
方程的增长性估计 |
| 3. | Nonexistences of weak solutions for p - sub - laplacian inequalities on the heisenberg group
不等方程弱解的不存在性 |
| 4. | Zonal wavelets on the heisenberg group and the orthogonal decomposition for the function space
群上的带状小波及函数空间的正交分解 |
| 5. | In chapter 3 , we state and prove some poincare inequalities and reverse poincare inequalities on the heisenberg group
在第三章，我们证明poincar不等式和逆poincar不等式。 |
| 6. | In chapter 1 , we introduce all the basic ingredients of c - c spaces and their special cases : sub - riemannian groups and heisenberg groups
第一章为以后的需要我们引入c - c空间和其特殊情形：次riemann群和heisenberg群。 |
| 7. | In chapter 6 , we study existence of the weak solutions for a class of the nonlinear dirichlet problems on h " and estimates of the eigenvalues about the subelliptic operators on heisenberg group
最后，我们在heisenberg群上研究几类半线性次椭圆方程的弱解存在性问题和几类次椭圆算子的特征估计问题。 |
| 8. | In chapter two , we first give the condition of generalized wavelets on l2 ( x ) by using the gelfand transform , where x = r + r denotes the underlying manifold of square integrable polyradial functions on the heisenberg group hn . then , we establish the theory of generalized wavelet transform and generalized wavelet packet transform on it
在第二章中，我们利用gelfand变换刻画了海森堡群h _ n上平方可积柱径向函数空间的基础流形laguerre超群x = r _ + ~ n r上的广义小波，讨论了该超群上的广义小波变换与广义小波包变换 |
