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Existence and approximation theorems on a weakly 1-complete analytic space

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Abstract

Let (X,XΘ) be a weakly 1-complete analytic space with an exhausting plurisubharmonic function

, B a positive line bundle over X and

a coherent analytic sheaf on X. Then, for any c, d ∈ ℝ(c<d), there exists a positive integer p0 such that the restriction mapping

has a dense image for P≧P0, where

for all a ∈ ℝ. An existence theorem for sections of sheaf

is also given.

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Author notes

  1. Hideaki Kazama

    Present address: Mathematisches Seminar der Universität Hamburg, D-2000, Hamburg 13, Bundesstr. 55

Authors and Affiliations

  1. Department of Mathematics College of General Education, Kyushu University, Ropponmatsu, 810, Fukuoka, Japan

    Hideaki Kazama

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  1. Hideaki Kazama
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This work was supported by a grant from the Alexander von Humboldt Foundation.

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Kazama, H. Existence and approximation theorems on a weakly 1-complete analytic space. Manuscripta Math 19, 57–74 (1976). https://doi.org/10.1007/BF01172338

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  • DOI: https://doi.org/10.1007/BF01172338

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