岡潔博士のお仕事と関連して
Related to Works of Dr. Kiyoshi OKA
(A) From Records of K. Oka:
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(A1)
A complete list of K. Oka's published papers and collected wroks.
It is difficult to find a complete one without any typos.
岡潔博士の出版物の完全リスト：誤植のないものを見つけるのは、以外と
難しい。
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(A2)
J. Noguchi,
On Kiyoshi Oka's Unpublished Papers in 1943 -
For the 120th anniversary of Kiyoshi Oka's birth
, ICCM Notices, 10 no. 1 (2022), 44-70:
DOI: https://dx.doi.org/10.4310/ICCM.2022.v10.n1.a3
This is an English translation by myself (with deep thanks to the courtesy
of Mr. Oka and
OKA Kiyoshi Collection, Nara Women's University for the copyright)
of the last one of a series of research reports,
VII-XI, written in Japanese and sent to Teiji Takagi (Tokyo) in 1943,
where he affirmatively solved
the Levi (Hartogs' Inverse) Problem in an arbitrary dimension,
even for unramified Riemann domains
over C^n as well (see Theorem I at p. 27).
In Part I, I describe some comments on the series of the unpublished
papers and recall briefly important results from VII--X-th Papers.
In Part II I present the English translation of Paper XI.
The reports were unpublished and the originals are found
in
OKA Kiyoshi Collection, Unpublished manuscripts.
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(A3)
K. Oka, Sur les formes objectives et les contenus subjectifs
dans les sciences math'ematiques;
Propos post'erieur
(With thanks to Professor J. Merker for TeX-set.)
K. Oka proved 1948 the epoch-making First Coherence Theorem
(O_{C^n})
in Oka VII, Bull. Soc. Math. France 78 (1950).
But the published paper was so different to the original one that
Oka thought it would be necessary to publish the original paper for which
he wrote this article in 1953. The original Oka VII was published in
his Collected Works from Iwanami Shoten 1961 without this ``Propos post'erieur''.
The original handwritten ``Propos post'erieur'' can be found in
OKA Kiyoshi Collection, Image Database
:
A copy of the handwritten notes.
There is a Japanese version in OKA Kiyoshi Collection, Image Database,
数学に於ける主観的内容と客観的形式とについて（草案）.
The tow versions are not exactly the same.
By courtesy of OKA Kiyoshi Collection, Nara Women's
University for the copyright.
(B1)
Seminary Records, Lecture Notes, Monographs based on K. Oka's Theory:
岡理論を紹介した、あるいはそれに基づいて理論展開したセミナー記録・講義録・モノグラフなど。
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Seminaires de Henri Cartan, 1948-1954
- Bernard Malgrange, Lectures on The Theory of Functions of Several Complex Variables,
Notes by R. Narasimhan,
Tata Institute of Fundamental Research, Bombay, 1958; reissued by Springer,
Berlin--Heidelberg--New York--Tokyo, 1984.
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一松 信，多変数解析函数論，培風館，1960.
S. Hitotsumatsu, Analytic Function Theory of Several Variables,
Baifukan, Tokyo, 1960.
- Henri Cartan, 連接層と多変数解析函数論への応用; 笠原乾吉記、
東大数学教室セミナリー・ノート8, 1964:
The theory of sheaves and its applications to the theory of analytic functions
of several variables,
Notes by Kankichi Kasahara, Seminary Notes 8, Department of Mathematics,
University of Tokyo, 1964.
- Lipman Bers, Introduction to Several Complex Variables,
Lecture Notes, Courant Institute Mathematical Sciences,
New York University, 1964.
- Robert C. Gunning and Hugo Rossi,
Analytic Functions of Several Complex Variables, Prentice-Hall, Englewood
Cliffs, New Jersey, 1965.
- Lars H''ormander, Introduction to Complex Analysis in Several Variables,
First Edition 1966, Third Edition, North-Holland, 1989:
笠原乾吉訳 (第2版) 多変数複素解析学入門，東京図書，1973．
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Hans Grauert and Reinhord Remmert,
Theorie der Steinschen R''aume, Springer-Verlag,1977;
English translation by Alan Huckleberry, Theory of Stein Spaces, Springer-Verlag, 1979;
[和訳] 宮嶋公夫訳，シュタイン空間論，シュプリンガー，2009
- Hans Grauert and Reinhord Remmert,
Coherent Analytic Sheaves, Springer-Verlag, 1984.
- 西野利雄，多変数函数論，東京大学出版会，1996: Theory of Functions of Several Complex Variables (in Japanese), University of Tokyo Press, 1996.
Function Theory in Several Complex Variables, translated by Norman Levenberg and
Hiroshi Yamaguchi, MMONO Vol. 193, Amer. Math. Soc., Providence RI, 2001.
- 野口潤次郎，多変数解析関数論−学部生へおくる岡の連接定理，朝倉書店，東京，2013, 第2版 2019.
English translation:
Analytic Function Theory of Several Variables - Elements of Oka's Coherence,
Springer, Singapore, 2016.
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野口潤次郎，岡理論 新入門，pp. 256, 裳華房，2021年10月．
多重円板内の複素部分多様体上の正則関数を多重円板上へ拡張するという
岡の上空移行の定理を鍵に，これだけで岡先生の解決した3大問題に完全な自足的証明を与える．
親フォルダー
(B4)[12]を参照．
(C1)
岡潔博士の数学研究と日本文化 (The mathematical study of Dr. Kiyoshi Oka
and the culture of Japan (in Japanese))
数学博士 岡潔顕彰講演会 記録
（橋本市教育委員会・橋本市岡潔数学WAVE）, 橋本市, H28(2016)年1月30日.
(C2)
数学と言葉−岡潔生誕120年によせて−
2021年度秋季総合分科会・市民講演会 記録
日本数学会, 2021(R03)年9月18日.
(D1)
The stone monuments of Dr. Kiyoshi Oka (岡潔博士顕彰碑):
In front of the city hall of Hashimoto (橋本市役所前) ,
