PROPAGATION OF SINGULARITIES IN CAUCHY-RIEMANN MANIFOLDS

被引：37

作者：

TREPREAU, JM ^{[1
]}

机构：

[1] UNIV PARIS 06,F-75252 PARIS 05,FRANCE

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1990年 / 118卷 / 04期

关键词：

D O I：

10.24033/bsmf.2154

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a general result of propagation of hypoanalytic singularities for solutions of induced Cauchy-Riemann equations. As applications, we study the propagation of holomorphic extendability to a wedge and we give examples of solutions which can not be written as sums of boundary values of holomorphic functions.

引用

页码：403 / 450

页数：48

共 50 条

[1] Propagation of Gevrey singularities for the degenerate Cauchy-Riemann equation
Lascar, B
Lerner, N
ISRAEL JOURNAL OF MATHEMATICS, 2001, 124 : 299 - 312
[2] HYPOELLIPTICITY ON CAUCHY-RIEMANN MANIFOLDS
PETERSEN, JA
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 334 (02) : 615 - 639
[3] On symmetric Cauchy-Riemann manifolds
Kaup, W
Zaitsev, D
ADVANCES IN MATHEMATICS, 2000, 149 (02) : 145 - 181
[4] Robinson manifolds and Cauchy-Riemann spaces
Trautman, A
CLASSICAL AND QUANTUM GRAVITY, 2002, 19 (02) : R1 - R10
[5] A remark on the reduction of Cauchy-Riemann manifolds
Loose, F
MATHEMATISCHE NACHRICHTEN, 2000, 214 : 39 - 51
[6] EMBEDDABILITY OF SMOOTH CAUCHY-RIEMANN MANIFOLDS
DWILEWICZ, R
ANNALI DI MATEMATICA PURA ED APPLICATA, 1985, 139 : 15 - 43
[7] MAPPINGS OF QUADRIC CAUCHY-RIEMANN MANIFOLDS
FORSTNERIC, F
MATHEMATISCHE ANNALEN, 1992, 292 (01) : 163 - 180
[8] SOLUTION OF TANGENTIAL TIAL CAUCHY-RIEMANN EQUATIONS ON Q-CONCAVE CAUCHY-RIEMANN MANIFOLDS
HENKIN, GM
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 292 (01): : 27 - 30
[9] The geometry of Cauchy-Riemann manifolds in dimension three
Cheng, JH
PROCEEDINGS OF THE SECOND ASIAN MATHEMATICAL CONFERENCE 1995, 1998, : 201 - 208
[10] ON THE MAPPING PROBLEM FOR QUADRIC CAUCHY-RIEMANN MANIFOLDS
SUKHOV, A
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1993, 42 (01) : 27 - 36

← 1 2 3 4 5 →