濱野 佐知子
   所属   京都産業大学  理学部 数理科学科
   職種   教授
言語種別 英語
発行・発表の年月 2013/10
形態種別 研究論文
査読 査読あり
標題 On Oka's extra-zero problem and examples
執筆形態 その他
掲載誌名 MATHEMATISCHE ZEITSCHRIFT
出版社・発行元 SPRINGER
巻・号・頁 275(1-2),pp.79-89
著者・共著者 Makoto Abe,Sachiko Hamano,Junjiro Noguchi
概要 After the solution of Cousin II problem by Oka III in 1939, he thought an extra-zero problem in 1945 (his posthumous paper) asking if it is possible to solve an arbitrarily given Cousin II problem adding some extra-zeros whose support is disjoint from the given one. By the secondly named author, some special case was affirmatively confirmed in dimension two and a counter-example in dimension three or more was given. The purpose of the present paper is to give a complete solution of this problem with examples and some new questions.
DOI 10.1007/s00209-012-1123-8
ISSN 0025-5874