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

数学季刊 ›› 1993, Vol. 8 ›› Issue (3): 76-81.

The Hypoellipticity for a Class of Nonhomogeneous Convolution Operator on the Nilpotent Lie Group H_n×R^k

Lanzhou University 73000

收稿日期:1993-05-01 出版日期:1993-09-30 发布日期:2025-05-30

The Hypoellipticity for a Class of Nonhomogeneous Convolution Operator on the Nilpotent Lie Group H_n×R^k

Lanzhou University 73000

Received:1993-05-01 Online:1993-09-30 Published:2025-05-30

摘要/Abstract

摘要： 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.

关键词: , hypoellipticity, nonhomogeneous convolution operator, nilpotent

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

郑驻军. The Hypoellipticity for a Class of Nonhomogeneous Convolution Operator on the Nilpotent Lie Group H_n×R^k[J]. 数学季刊, 1993, 8(3): 76-81.

Zheng Zhujun. The Hypoellipticity for a Class of Nonhomogeneous Convolution Operator on the Nilpotent Lie Group H_n×R^k[J]. Chinese Quarterly Journal of Mathematics, 1993, 8(3): 76-81.

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The Hypoellipticity for a Class of Nonhomogeneous Convolution Operator on the Nilpotent Lie Group H_n×R^k

The Hypoellipticity for a Class of Nonhomogeneous Convolution Operator on the Nilpotent Lie Group H_n×R^k

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