A microlocal version of Cartan-Grauert's theorem

• Autorzy: I. V. Maresin , A. G. Sergeev
• Języki publikacji: EN

Abstrakty

EN

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 $ℝ^n ⊂ ℂ^n$.

Słowa kluczowe

EN

totally real submanifolds; domains of holomorphy; tuboids

Kategorie tematyczne

• 32A07: Special domains (Reinhardt, Hartogs, circular, tube)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1998
• Tom: 70
• Numer: 1
• Strony: 157-162

Daty

wydano

1998

otrzymano

1998-03-03

Twórcy

autor

I. V. Maresin

autor

A. G. Sergeev

• Steklov Mathematical Institute, Gubkina 8, 117966, GSP-1 Moscow, Russia

Bibliografia

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