Cartan–Grauert theorem for tuboids with “curvilinear” edge

I. V. Maresin

M. V. Lomonosov Moscow State University

Abstract: Tuboids are tube type domains with totally real edge that are asymptotically approximated near the edge points by local tubes over convex cones. For these domains we prove an analog of the Cartan–Grauert theorem on holomorphic convexity of domains in $\mathbb R^n\subset\mathbb C^n$.

UDC: 517.55

Received: 19.05.1998

DOI: 10.4213/mzm1468

 English version: Mathematical Notes, 1998, 64:6, 767–777

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