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Explicit Fundamental Solutions for a Class of Left Invariant Operators on the Nilpotent Lie Group Gd1+d2

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【作者】 蒋亚萍； 罗学波；

【Author】 Jiang Yaping;Luo Xuebo Institute of Mathematics, Academia Sinica, Beijing, China Department of Mathematics, Lanzhou University, Lanzhou, China

【机构】 Institute of Mathematics, Academia Sinica, Beijing, China； Department of Mathematics, Lanzhou University, Lanzhou, China；

【摘要】 <正> In this paper, we give an explicit expression of the fundamental solutions and theglobal solvability for a class of LPDO’s consisting of left invariant vector fields on the nilpotentLie group Gd1+d2.

【Abstract】 In this paper, we give an explicit expression of the fundamental solutions and the global solvability for a class of LPDO’s consisting of left invariant vector fields on the nilpotent Lie group Gd1+d2.

【关键词】 solvability； invariant； admissible； explicit； operators； quadratic； coordinates； globally； regularity； symmetric；
【基金】 Supported by the National Postdoctoral Foundation;Supported by the National Natural Science Foundation.
  • 【文献出处】 Acta Mathematica Sinica ,数学学报(英文版) , 编辑部邮箱 ,1993年02期
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