文档介绍：of211ofSeveralbyShuEditorial BoardShoshichi Kobayashi (Chair)Masamichi TakesakiTAHENSU FUKUSO KAISEKI(A MODERN INTRODUCTION PLEX VARIABLES)by Takeo OhsawaCopyright ? 1998 by Takeo OhsawaOriginally published in Japaneseby Iwanami Shoten, Publishers, Tokyo, 1998Translated from the Japanese by Shu Gilbert Nakamura2000 Mathematics Subject Classification. Primary . This is an expository account of the basic results in plexvariables that are obtained by L2 of Congress Cataloging-in-Publication DataOhsawa, T. (Takeo)[Tahensu fukuso kaiseki. English]Analysis of plex variables / Takeo Ohsawa ;translated by ShuGilbert . cm. - (Translations of mathematical monographs, ISSN 0065-9282v. 211)(Iwanami series in modern mathematics)Includes bibliographical references and 0-8218-2098-2 (soft cover : acid-free paper)1. Functions of plex . Mathematical . . . Series: Iwanami series in modern 2002515'.94-dc2l2002019351? 2002 by the American Mathematical Society. All rights American Mathematical Society retains all rightsexcept those granted to the United States in the United States of America.? The paper used in this book is acid-free and falls within the guidelinesestablished to ensure permanence and on copying and reprinting can be found in the back of this the AMS home page at URL: http://vwv./10987654321070605040302ContentsPrefacePreface to the English EditionSummary and Prospects of the TheoryixxiChapter and Elementary -Riemann Domains18Chapter of Holomorphic Functions and 8 Cohomology and the 8 Problems and the 8 ? Cohomology and Serre's Condition27Chapter andPlurisubharmonic of Domains of