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From the German preface of R. Remmert: When kings build their kingdom, there is work for the draymen. Kiyoshi Oka was a king. His kingdom was the function theory of several complex variables. He solved problems which were believed to be unsolvable; he developed methods whose audacity brought the admiration of the mathematical world. Oka gave new life to complex analysis. This book comprises Oka s ten Mémoires with comments by Henri Cartan.

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Rationally Convex Domains.- Domains of Holomorphy.- The Second Cousin Problem.- Domains of Holomorphy and Rationally Convex Domains.- The Cauchy Integral.- Pseudo convex Domains.- On Some Arithmetical Notions.- Fundamental Lemma.- Unramified Domains Without Points at Infinity.- A New Method of Generating Pseudoconvex Domains.

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