Geodesic
Extension maps in ultradifferentiable and ultraholomorphic function spaces
Studia Mathematica, Tome 143 (2000) no. 3, pp. 221-250 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The problem of the existence of extension maps from 0 to ℝ in the setting of the classical ultradifferentiable function spaces has been solved by Petzsche [9] by proving a generalization of the Borel and Mityagin theorems for $C^{∞}$-spaces. We get a Ritt type improvement, i.e. from 0 to sectors of the Riemann surface of the function log for spaces of ultraholomorphic functions, by first establishing a generalization to some nonclassical ultradifferentiable function spaces.
DOI : 10.4064/sm-143-3-221-250
Keywords: extension map, ultradifferentiable function, Roumieu type, Beurling type 
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Jean Schmets; Manuel Valdivia. Extension maps in ultradifferentiable and ultraholomorphic function spaces. Studia Mathematica, Tome 143 (2000) no. 3, pp. 221-250. doi: 10.4064/sm-143-3-221-250

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