Geodesic
Polynomial approximation on parabolic manifolds
Sbornik. Mathematics, Tome 215 (2024) no. 5, pp. 703-716

Voir la notice de l'article provenant de la source Math-Net.Ru

On a parabolic manifold polynomials are defined in terms of a special exhaustion function, and the problem of polynomial approximation of analytic functions is considered. An example of a parabolic manifold on which the class of polynomials consists of the constants alone is presented. On regularly parabolic manifolds, which possess a large reserve of polynomials, an analogue of the celebrated Bernstein–Walsh theorem is proved. Bibliography: 28 titles.
Keywords: plurisubharmonic functions, Stein parabolic manifolds, exhaustion function, polynomials, rapid approximation. 
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A. Sadullaev; A. A. Atamuratov. Polynomial approximation on parabolic manifolds. Sbornik. Mathematics, Tome 215 (2024) no. 5, pp. 703-716. http://geodesic.mathdoc.fr/item/SM_2024_215_5_a5/