Sharpening the EDGE of the wedge theorem 
Abstract: Denote by O^{+} and O^{} the positive and negative orthants in R^{n}. 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 C^{n} which extends f^{+} and f^{}. We shall sharpen and extend this result in several directions:

Web page: Alexandru I. Suciu  Comments to: alexsuciu@neu.edu  
Posted: April 28, 2004  URL: http://www.math.neu.edu/bhmn/ehrenpreis04.html 