ArticleOriginal scientific textThe holomorphic extension of
Title
The holomorphic extension of CR functions on tube submanifolds
Authors 1
Affiliations
- Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368, U.S.A.
Abstract
We show that a CR function of class , 0 ≤ k < ∞, on a tube submanifold of holomorphically extends to the convex hull of the submanifold. The extension and all its derivatives through order k are shown to have nontangential pointwise boundary values on the original tube submanifold. The -norm of the extension is shown to be no bigger than the -norm of the original CR function.
Keywords
CR function, convex, tube
Bibliography
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