Almost holomorphic extensions of ultradifferentiable functions |
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| Authors: | Andersson Mats Berndtsson Bo |
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| Institution: | 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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| Keywords: | |
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