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Displaying 41 – 43 of 43

Analytic inversion of adjunction: $L^{2}$ extension theorems with gain

Jeffery D. McNeal, Dror Varolin (2007)

Annales de l’institut Fourier

We establish new results on weighted $L^{2}$ -extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function. The weights we use are determined by certain functions that we call denominators. We give a collection of examples of these denominators related to the divisor defined by the submanifold.

Application of the logarithmic differential to the holomorphic extension problem for $C R$ -hyperfunctions.

Antipova, I.A. (2000)

Siberian Mathematical Journal

Approximation polynomiale et extension holomorphe avec croissance sur une variété algébrique

A. Zeriahi (1996)

Annales Polonici Mathematici

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...

Displaying 41 – 43 of 43

Analytic inversion of adjunction: L 2 extension theorems with gain

Application of the logarithmic differential to the holomorphic extension problem for C R -hyperfunctions.

Approximation polynomiale et extension holomorphe avec croissance sur une variété algébrique

Currently displaying 41 – 43 of 43

Analytic inversion of adjunction: $L^{2}$ extension theorems with gain

Application of the logarithmic differential to the holomorphic extension problem for $C R$ -hyperfunctions.