# A microlocal version of Cartan-Grauert's theorem

Annales Polonici Mathematici (1998)

- Volume: 70, Issue: 1, page 157-162
- ISSN: 0066-2216

## Access Full Article

top## Abstract

top## How to cite

topI. V. Maresin, and A. G. Sergeev. "A microlocal version of Cartan-Grauert's theorem." Annales Polonici Mathematici 70.1 (1998): 157-162. <http://eudml.org/doc/262864>.

@article{I1998,

abstract = {Tuboids are tube-like domains which have a totally real edge and look asymptotically near the edge as a local tube over a convex cone. For such domains we state an analogue of Cartan’s theorem on the holomorphic convexity of totally real domains in $ℝ^n ⊂ ℂ^n$.},

author = {I. V. Maresin, A. G. Sergeev},

journal = {Annales Polonici Mathematici},

keywords = {totally real submanifolds; domains of holomorphy; tuboids},

language = {eng},

number = {1},

pages = {157-162},

title = {A microlocal version of Cartan-Grauert's theorem},

url = {http://eudml.org/doc/262864},

volume = {70},

year = {1998},

}

TY - JOUR

AU - I. V. Maresin

AU - A. G. Sergeev

TI - A microlocal version of Cartan-Grauert's theorem

JO - Annales Polonici Mathematici

PY - 1998

VL - 70

IS - 1

SP - 157

EP - 162

AB - Tuboids are tube-like domains which have a totally real edge and look asymptotically near the edge as a local tube over a convex cone. For such domains we state an analogue of Cartan’s theorem on the holomorphic convexity of totally real domains in $ℝ^n ⊂ ℂ^n$.

LA - eng

KW - totally real submanifolds; domains of holomorphy; tuboids

UR - http://eudml.org/doc/262864

ER -

## References

top- [1] J. Bros and D. Iagolnitzer, Tuboïdes et structure analytique des distributions, Sém. Goulaouic-Lions-Schwartz, nos. 16, 18, 1975. Zbl0333.46028
- [2] J. Bros and D. Iagolnitzer, Tuboïdes dans ${\u2102}^{n}$ et généralisation d’un théorème de Grauert, Ann. Inst. Fourier (Grenoble) 26 (1976), no. 3, 49-72. Zbl0336.32003
- [3] H. Cartan, Variétés analytiques réelles et variétés analytiques complexes, Bull. Soc. Math. France 85 (1957), 77-100. Zbl0083.30502
- [4] H. Grauert, On Levi's problem and the embedding of real analytic manifolds, Ann. of Math. (2) 68 (1958), 460-472. Zbl0108.07804
- [5] I. V. Maresin, Cartan-Grauert's theorem for tuboids with a curvilinear edge, Math. Notes 64 (1998), no. 6. Zbl0952.32001

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.