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Almost holomorphic extensions of ultradifferentiable functions

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Publication:1411303
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DOI10.1007/BF02893087zbMath1061.30028OpenAlexW2060945504MaRDI QIDQ1411303

Mats Andersson, Bo Berndtsson

Publication date: 27 October 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02893087

zbMATH Keywords

Legendre transform0251.30033almost holomorphic extension


Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10) Quasi-analytic and other classes of functions of one complex variable (30D60) Several complex variables and analytic spaces (32-XX)


Related Items

Optimal linearization of vector fields on the torus in non-analytic Gevrey classes, Structure theorem for functionals in the space \(\mathfrak S^{\prime}_{\omega_1,\omega_{2}}\), The action of operator semigroups on the topological dual of the Beurling-Björck space, Unnamed Item



Cites Work

  • Holomorphic approximation of ultradifferentiable functions
  • Weighted estimates for \(\overline\partial\) in domains in \(\mathbb{C}\)
  • The pseudoanalytic extension
  • Analytic continuation across a linear boundary
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