SUB-LAPLACIANS ON A CLASS OF HOMOGENEOUS GROUPS  

作　　者：孙利民 

机构地区：[1]Department of Mathematics, Hangzhou University, Hangzhou 310028, PRC

出　　处：《Science China Mathematics》1992年第5期561-569,共9页中国科学：数学（英文版）

摘　　要：An important class of homogeneous groups N(Φ) is introduced, which includes the distin-guishing boundaries of the Siegel domains of Type Ⅱ. For the sub-Laplacian ? on N(Φ),its basic eigenfunctions are obtained by a direct calculation, the foundamental solution of? is derived from those eigenfunctions, and finally, a solution of ? with singularities isgiven.An important class of homogeneous groups N(Φ) is introduced, which includes the distin-guishing boundaries of the Siegel domains of Type Ⅱ. For the sub-Laplacian ? on N(Φ),its basic eigenfunctions are obtained by a direct calculation, the foundamental solution of? is derived from those eigenfunctions, and finally, a solution of ? with singularities isgiven.

关 键 词：HOMOGENEOUS GROUP SUB-LAPLACIAN EIGENFUNCTION foundamental solution. 

分 类 号：N[自然科学总论]