Chinese Quarterly Journal of Mathematics ›› 1993, Vol. 8 ›› Issue (3): 76-81.

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The Hypoellipticity for a Class of Nonhomogeneous Convolution Operator on the Nilpotent Lie Group Hn×Rk

  

  1. Lanzhou University 73000
  • Received:1993-05-01 Online:1993-09-30 Published:2025-05-30

Abstract: In this paper,we use the method of representation of Lie group to study a class of nonhomoge-neous convolution operator on the nilpotent Lie group HM×Rk,and give a criteerion of their hypoellipticity.

Key words:  , hypoellipticity, nonhomogeneous convolution operator, nilpotent