Hypoelliptic convolution operators and Rockland condition

被引：0

作者：

Luo, XB

He, CX

机构：

[1] LANZHOU UNIV,DEPT MATH,LANZHOU 730000,PEOPLES R CHINA

[2] CHINESE ACAD SCI,LANZHOU INST GLACIOL & GEOCRYOL,STATE KEY LAB FROZEN SOIL ENGN,LANZHOU 730000,PEOPLES R CHINA

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1996年 / 39卷 / 10期

关键词：

hypoellipticity; convolution operator; nilpotent group; Rockland condition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a connected and simply-connected step two homogeneous group, K be a left invariant homogeneous convolution operator on G. If K is hypoelliptic, then pi(K) is injective on C-infinity(pi) for every nontrivial irreducible unitary representation of G (referred to as Rockland condition).

引用

页码：1025 / 1033

页数：9

共 11 条

[1] PSEUDODIFFERENTIAL-OPERATORS ON GROUPS WITH DILATIONS
CHRIST, M
GELLER, D
GLOWACKI, P
POLIN, L
[J]. DUKE MATHEMATICAL JOURNAL, 1992, 68 (01) : 31 - 65
[2] Helffer B., 1979, Commun. Partial Differ. Equ., V4, P899
[3] Miller K. G., 1980, COMMUN PART DIFF EQ, V5, P1153, DOI [10.1080/03605308008820166, DOI 10.1080/03605308008820166]
[4] ROCKLAND C, 1978, T AM MATH SOC, V240, P1
[5] HYPOELLIPTIC DIFFERENTIAL OPERATORS AND NILPOTENT GROUPS
ROTHSCHILD, LP
STEIN, EM
[J]. ACTA MATHEMATICA, 1976, 137 (3-4) : 247 - 320
[6] [No title captured]
[7] [No title captured]
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[9] [No title captured]
[10] [No title captured]

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