Under the foundation of Hermitean Clifford setting, we define the fundamental operators for complex Clifford algebra valued fimctions, obtain some properties of these operators, and discuss a representation of sl（2;...Under the foundation of Hermitean Clifford setting, we define the fundamental operators for complex Clifford algebra valued fimctions, obtain some properties of these operators, and discuss a representation of sl（2; C ） on Clifford algebra of even dimension.展开更多
In this article, a polyharmonic Neumann function in a sector with angle π n （n N） is studied by convolution. Especially, the outward normal derivatives at three corner points are defined properly. We give the recur...In this article, a polyharmonic Neumann function in a sector with angle π n （n N） is studied by convolution. Especially, the outward normal derivatives at three corner points are defined properly. We give the recursive expressions for the polyharmonic Neumann function, obtaining the solution and the condition of solvability for the related polyharmonic Neumann problem.展开更多
基金Supported by the National Natural Science Foundation of China(10871150, 11001273)the Freedom Explore Program of Central South University
文摘Under the foundation of Hermitean Clifford setting, we define the fundamental operators for complex Clifford algebra valued fimctions, obtain some properties of these operators, and discuss a representation of sl（2; C ） on Clifford algebra of even dimension.
基金Supported by the National Natural Science Foundation of China(11171260)the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministrythe Research Fund for Revitalization Project of Zhongnan University of Economics and Law
文摘In this article, a polyharmonic Neumann function in a sector with angle π n （n N） is studied by convolution. Especially, the outward normal derivatives at three corner points are defined properly. We give the recursive expressions for the polyharmonic Neumann function, obtaining the solution and the condition of solvability for the related polyharmonic Neumann problem.
