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Heisenberg群上算子■0′的显式基本解
An Explicit Fundamental Solution for the Operator ■′0 on the Heisenbe Hg Group Hn
【摘要】 本文力图解决[3]中提出的问题,给出了n为偶数情形(?)0′的显式基本解及有关的证明。
【Abstract】 Let, (?)_α=-(1/2)sum from 1 to n(α_j(Z_j(?)_j+(?)_jZ_j)+iαT) where α′_js are real and positive, and Z_j=((?)/((?)z))+i(?)((?)/((?)t)). z_j=x_j+iy_j, T=(?)/((?)t). In this paper we deal with the speial case α=0. We prove that there exists a regular homogeneous fundamental solution for the operator and give an explicit expression of the fundamental solution.
【基金】 中国科学院科学基金
- 【文献出处】 应用数学 ,Mathematica Applicata , 编辑部邮箱 ,1988年03期
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