MORERA AND POMPEIU THEOREMS IN THE HEISENBERG-GROUP

被引：0
|
作者：
AGRANOVSKY, M
BERENSTEIN, C
CHANG, DC
PASCUAS, D
机构：
[1] UNIV MARYLAND,DEPT MATH,COLL PK,MD 20742
[2] UNIV MARYLAND,SYST RES CTR,COLL PK,MD 20742
[3] UNIV BARCELONA,FAC MATEMAT,DEPT MATEMAT APLICADA & ANALISI,BARCELONA 7,SPAIN
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1992年 / 315卷 / 06期
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let H(n) be the Heisenberg group. We characterize those functions in L(p)(H(n)) which satisfy the tangential Cauchy-Riemann equations, in terms of vanishing of integrals on spheres of given radii (Morera theorem). We show also, for the same class of functions, that their mean value over spheres radii determines the function.
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页码：655 / 658
页数：4
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