Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group

Do Duc Thai; Dinh Huy Hoang

Annales Polonici Mathematici, Tome 72 (1999), p. 105 / Harvested from The Polish Digital Mathematics Library

Résumé

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 $π_{1} : V \to Γ$ is finite and proper, then $R_{V} : O (Γ \times G) \to I m R_{V} \subset O (V)$ has a right inverse

Publié le : 1999-01-01

Zbl 0945.46013

EUDML-ID : urn:eudml:doc:262831

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     author = {Do Duc Thai and Dinh Huy Hoang},
     title = {Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group},
     journal = {Annales Polonici Mathematici},
     volume = {72},
     year = {1999},
     pages = {105},
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Do Duc Thai; Dinh Huy Hoang. Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group. Annales Polonici Mathematici, Tome 72 (1999) p. 105. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv71z2p105bwm/

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