期刊文献+

H型群上的泰勒展开式

The Taylor expansions on groups of Heisenberg type
下载PDF
导出
摘要 利用H型群G的基向量场分别给出了光滑函数在G上的泰勒展开式和在G×R+上的泰勒展开式,同时给出了群上的乘法. In this paper we obtain the Taylor expansions of smooth functions in virtue of the basis of Lie algebra of G in G and in G×R^+ respectively, where G denotes groups of Heisenberg type, and also present the group product.
作者 贾化冰
出处 《纯粹数学与应用数学》 CSCD 北大核心 2005年第3期272-276,共5页 Pure and Applied Mathematics
基金 国家自然科学基金(10371099)
关键词 H型群 泰勒展开式 光滑向量场 groups of Heisenberg type, taylor expansion, smooth vector field
  • 相关文献

参考文献7

  • 1Nagel A,Stein E,Wainger S. Balls and Metrics Defined by Vector Fields Ⅰ:Basic Properties[J].Acta Math.,1985,155:103~147.
  • 2Bieske T. On infinite Harmonic Functions on the Heisenberg Group[J].Commun.In PDE,2002,27(3-4):727~761.
  • 3Manfredi J J,Stroffolini B. A version of the Hopf-Lax Formula in the Heisenberg Group[J].Commun.In PDE,2002,27(5-6):1139~1159.
  • 4Garofalo N,Vassilev D.Regularity near the characteristic set in the non-linear Dirichlet problem and conformal geometry of sub-Laplacians on Camot groups[J].Math.Ann.,2000,318:453~516.
  • 5Garofalo N.Vassilev D.Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type[J].Duke Math.J.,2001,106:417~448.
  • 6Kaplan A.Fundamental solutions for a class of hypoelliptic PDE generated by compostition of quadratic forms[J].Trans.Amer.Math.Soc.,1980,258:147~153.
  • 7Bellaiche A,Risler J J.Sub-Riemannian Geometry[J].Progress in Mathematics,1996,144:1~78.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部