Talk:Pseudoconvexity
Latest comment: 11 years ago by 129.49.88.228 in topic defining functions
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Are all convex sets in C^n pseudoconvex?
editA discussion would be useful.Rich 20:12, 26 November 2006 (UTC)
- Yes, they are. At least if you by convex mean ordinary linear convexity. This is a elementary result which can be found in, Holomorphic functions and integral representations in several complex variables, ISBN 0-387-96259-x, by R. Michael Range Vigfus (talk) 11:02, 29 December 2009 (UTC)
Redirection of Hartogs' domain
editThe redirection here of the link Hartogs' domain is somewhat misleading, since those domains are extremely particular pseudoconvex domains, having properties not shared by other kind of set belonging to such class. It is necessary to create separated entry: anyone interested? :D Daniele.tampieri (talk) 14:42, 28 November 2011 (UTC)
defining functions
editIs it true that the defining function of a Levy pseudoconvex domain can be extended to all of C^n? Shouldn't it rather be a neighborhood of the closure of the Levy pseudoconvex domain? — Preceding unsigned comment added by 129.49.88.228 (talk) 21:07, 15 October 2013 (UTC)