Collected Papers

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.

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.