- Tytuł:
- Extension maps in ultradifferentiable and ultraholomorphic function spaces
- Autorzy:
-
Schmets, Jean
Valdivia, Manuel - Powiązania:
- https://bibliotekanauki.pl/articles/1205776.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
extension map
ultradifferentiable function
Roumieu type
Beurling type - Opis:
- 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.
- Źródło:
-
Studia Mathematica; 2000, 143, 3; 221-250
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł