- Tytuł:
- Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group
- Autorzy:
-
Thai, Do
Hoang, Dinh - Powiązania:
- https://bibliotekanauki.pl/articles/1294150.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
complex Lie group
linear topological invariant
right inverse - Opis:
- We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection $π_1 : V → Γ$ is finite and proper, then $R_V : O(Γ × G) → Im R_V ⊂ O(V)$ has a right inverse
- Źródło:
-
Annales Polonici Mathematici; 1999, 71, 2; 105
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł