|Sharpening the EDGE of the wedge theorem|
Abstract: Denote by O+ and O the positive and negative orthants in Rn. The wedges W+ and W are the tubes over O+ and O. The edge is the intersection of the wedges, which is the imaginary space. Let f+ and f be functions which are holomorphic on W+ and W. If f+ = f on the edge then there is a function F which is holomorphic on all of Cn which extends f+ and f.
We shall sharpen and extend this result in several directions:
|Web page: Alexandru I. Suciu||Comments to: email@example.com|
|Posted: April 28, 2004||URL: http://www.math.neu.edu/bhmn/ehrenpreis04.html|