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Titlebook: Basic Oka Theory in Several Complex Variables; Junjiro Noguchi Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclus

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Junjiro NoguchiServes as a textbook in lecture courses of function theory of several complex variables right after one variable.Is based on Oka’s first coherence theorem and the Joku-Iko Principle.Proves Levi‘s prob
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Textbook 2024 mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were solved by Kiyoshi Oka and form the basics of the theory. The purpose of the volume is to serve as a textbook in lecture courses right after complex function theory of one variable. The presentation aims
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,Pseudoconvex Domains II —Solution, combined with the Joku-Iko Principle, and the second is due to H. Grauert (1958) through L. Schwartz’s Fredholm Theorem for compact operators and the bumping method. The comparison is interesting. Each proof has its own advantage.
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0172-5939 erence theorem and the Joku-Iko Principle.Proves Levi‘s prob.This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) tha
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