Almost holomorphic extensions of ultradifferentiable functions |
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Authors: | Andersson Mats Berndtsson Bo |
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Affiliation: | 1.Department of Mathematics, Chalmers University of Technology and the University of G?teborg, S-412 96, G?teborg, Sweden ; |
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Abstract: | For a smooth functionf on ℝ n , we construct an extensionF to ℂ n with vanishing to a high order on ℝ n and give precise estimates of how the degree of smothness is reflected in the degree of vanishing. This analysis is used to define the operator on (n,n−1) forms with singularities on ℝ n . |
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