- Tytuł:
- Approximation polynomiale et extension holomorphe avec croissance sur une variété algébrique
- Autorzy:
- Zeriahi, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/1311243.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Green function
L² estimation
approximation
growth
extension - Opis:
- We first give a general growth version of the theorem of Bernstein-Walsh-Siciak concerning the rate of convergence of the best polynomial approximation of holomorphic functions on a polynomially convex compact subset of an affine algebraic manifold. This can be considered as a quantitative version of the well known approximation theorem of Oka-Weil. Then we give two applications of this theorem. The first one is a generalization to several variables of Winiarski's theorem relating the growth of an entire function to the rate of convergence of its best polynomial approximation; the second application concerns the extension with growth of an entire function from an algebraic submanifold to the whole space.
- Źródło:
-
Annales Polonici Mathematici; 1996, 63, 1; 35-50
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł