Universal functions on Stein manifolds

スポンサーリンク

概要

• 論文の詳細を見る

• We study universal holomorphic functions on a Stein manifold M with projective compactification. Let {\varphi<SUB>n</SUB>} be a sequence of holomorphic automorphisms of M. We prove that if {\varphi<SUB>n</SUB><SUP>-1</SUP>} is A run-away, then the set of all universal functions with respect to {\varphi<SUB>n</SUB>} in \mathscr{A}(K) for all compact subsets K with a certain property is the intersection of countable number of open dense subsets in the space of all holomorphic functions on M. We also note that there is a close connection between the direction of run-awayness and a family of compact sets for which there exists a universal function.

• 社団法人 日本数学会の論文
• 2004-01-01

著者

• Abe Yukitaka

  Department Of Mathematics Toyama University

• Abe Yukitaka

  Departement De Mathematiques Universite De Toyama

• ZAPPA Paolo

  Dipartimento di Matematica Universita di Perugia

関連論文

• Domains over A K-complete manifold
• Universal functions on Stein manifolds
• Elliptic differential operators with respect to a subbundle of the tangent bundle
• Sur les fonctions periodiques de plusieurs variables
• Homomorphisms of toroidal groups
• A statement of Weierstrass on meromorphic functions which admit an algebraic addition theorem
• Sur les fonctions periodiques de plusieurs variables II (reduction au cas defini positif)
• A remark on Levi foliations
• ON QUASI-ABELIAN VARIETIES OF KIND $ k $
• MEROMORPHIC REDUCTION OF COMPLEX LIE GROUPS

スポンサーリンク