Extension of Entire Functions with Controlled Growth.
Extension of Estermann’s theorem to Euler products associated to a multivariate polynomial
Given a multivariate polynomial with integral coefficients verifying an hypothesis of analytic regularity (and satisfying ), we determine the maximal domain of meromorphy of the Euler product and the natural boundary is precisely described when it exists. In this way we extend a well known result for one variable polynomials due to Estermann from 1928. As an application, we calculate the natural boundary of the multivariate Euler products associated to a family of toric varieties.
Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric
We study the extension problem for germs of holomorphic isometries up to normalizing constants between bounded domains in Euclidean spaces equipped with Bergman metrics on and on . Our main focus is on boundary extension for pairs of bounded domains such that the Bergman kernel extends meromorphically in to a neighborhood of , and such that the analogous statement holds true for the Bergman kernel on . Assuming that and are complete Kähler manifolds, we prove that the germ...
Extension of holomorphic bundles to the disc (and Serre’s Problem on Stein bundles)
Holomorphic bundles, with fiber , defined on open sets in by locally constant transition automorphisms, are shown to extend to holomorphic bundles on the Riemann sphere. In particular, it allows us to give an example of a non-Stein holomorphic bundle on the unit disc, with polynomial transition automorphisms.
Extension of holomorphic maps between real hypersurfaces of different dimension
In this paper we extend the results on analytic continuation of germs of holomorphic mappings from a real analytic hypersurface to a real algebraic hypersurface to the case when the target hypersurface is of higher dimension than the source. More precisely, we prove the following: Let be a connected smooth real analytic minimal hypersurface in , be a compact strictly pseudoconvex real algebraic hypersurface in , . Suppose that is a germ of a holomorphic map at a point in and is in...
Extension of Holomorphic Maps into Hermitian Manifolds.
Extension of line bundles and holomorphic maps
Extension of Positive Line Bundles and Meromorphic Maps.
Extension of Proper Holomorphic Mappings Past the Boundary.
Extension of separately holomorphic functions defined in non-open sets in the infinite dimensional case
Extension of separately holomorphic functions-a survey 1899-2001
This note is an attempt to describe a part of the historical development of the research on separately holomorphic functions.
Extension of Whitney Fields from Subanalytic Sets.
Extension phenomena for holomorphic geometric structures.
Extension sets for real analytic functions and applications to Radon transforms.
Extension Theorems for Reductive Group Actions on Compact Kaehler Manifolds.
Extension theorems of Sakai type for separately holomorphic and meromorphic functions
We first exhibit counterexamples to some open questions related to a theorem of Sakai. Then we establish an extension theorem of Sakai type for separately holomorphic/meromorphic functions.
Extensions d'objets CR.
Extensions of Hardy-Littlewood inequalities.
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. II.
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I.