Kiyoshi Oka

Kiyoshi Oka

Kiyoshi Oka (岡 潔, Oka Kiyoshi, April 19, 1901 – March 1, 1978) was a Japanese mathematician who did fundamental work in the theory of several complex variables. He was born in Osaka. He went to Kyoto Imperial University in 1919, turning to mathematics in 1923 and graduating in 1924.

He was in Paris for three years from 1929, returning to Hiroshima University. He published solutions to the first and second Cousin problems, and work on domains of holomorphy, in the period 1936–1940. These were later taken up by Henri Cartan and his school, playing a basic role in the development of sheaf theory. Oka continued to work in the field, and proved Oka's coherence theorem in 1950. Oka's lemma is also named after him.

He was professor at Nara Women's University from 1949 to retirement at 1964. He received many honours in Japan.

Honors

• 1951 Japan Academy Prize
• 1954 Asahi Prize
• 1960 Order of Culture
• 1973 Order of the Sacred Treasure, 1st class

Bibliography

• KIYOSHI OKA COLLECTED PAPERS
  • Oka, Kiyoshi (1961). Sur les fonctions analytiques de plusieurs variables (in French). Tokyo, Japan: Iwanami Shoten. p. 234.  - Includes bibliographical references.
  • Oka, Kiyoshi (1983). Sur les fonctions analytiques de plusieurs variables (in French) (Nouv. ed. augmentee. ed.). Tokyo, Japan: Iwanami. p. 246. 
  • Oka, Kiyoshi (1984). Reinhold Remmert, ed. KIYOSHI OKA COLLECTED PAPERS (in English and French (translation)). English translation from the French by Raghavan Narasimhan; With Commentaries by Henri Cartan. Springer-Verlag. p. 223. ISBN 0-387-13240-6 ISBN 3-540-13240-6.  CS1 maint: Unrecognized language (link)

Published papers

1. Oka, Kiyoshi (1936). "Domaines convexes par rapport aux fonctions rationnelles". Journal of Science of the Hiroshima University 6: 245–255.  PDF TeX
2. Oka, Kiyoshi (1937). "Domaines d'holomorphie". Journal of Science of the Hiroshima University 7: 115–130.  PDF TeX
3. Oka, Kiyoshi (1939). "Deuxième problème de Cousin". Journal of Science of the Hiroshima University 9: 7–19.  PDF TeX
4. Oka, Kiyoshi (1941). "Domaines d'holomorphie et domaines rationnellement convexes". Japanese Journal of Mathematics 17: 517–521.  PDF TeX
5. Oka, Kiyoshi (1941). "L'intégrale de Cauchy". Japanese Journal of Mathematics 17: 523–531.  PDF TeX
6. Oka, Kiyoshi (1942). "Domaines pseudoconvexes". Tôhoku Mathematical Journal 49: 15–52.  PDF TeX
7. Oka, Kiyoshi (1950). "Sur quelques notions arithmétiques". Bulletin de la Société Mathématique de France 78: 1–27.  PDF TeX
8. Oka, Kiyoshi (1951). "Lemme fondamental". Journal of Mathematical Society of Japan 3: 204–214, pp. 259–278. doi:10.2969/jmsj/00310204.  PDF TeX
9. Oka, Kiyoshi (1953). "Domaines finis sans point critique intérieur". Japanese Journal of Mathematics 27: 97–155.  PDF TeX
10. Oka, Kiyoshi (1962). "Une mode nouvelle engendrant les domaines pseudoconvexes". Japanese Journal of Mathematics 32: 1–12.  PDF TeX
11. Oka, Kiyoshi (1934). "Note sur les familles de fonctions analytiques multiformes etc.". Journal of Science of the Hiroshima University. Ser.A 4: 93–98.  PDF TeX
12. Oka, Kiyoshi (1941). "Sur les domaines pseudoconvexes". Proc. Imp. Acad. Tokyo 17 (1): 7–10. doi:10.3792/pia/1195578912.  PDF TeX
13. Oka, Kiyoshi (1949). "Note sur les fonctions analytiques de plusieurs variables". Kodai Math. Sem. Rep. Nos.5-6: 15–18. doi:10.2996/kmj/1138833536.  PDF TeX

External links

• O'Connor, John J.; Robertson, Edmund F., "Kiyoshi Oka", MacTutor History of Mathematics archive, University of St Andrews .
• Oka library at NWU
• Photos of Prof. Kiyoshi Oka