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Hitoshi Kumano-Go

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Japanese mathematician

Hitoshi Kumano-Go (4 October 1935 – 24 August 1982) was a Japanese mathematician who specialized in partial differential equations. He is especially recognized for his work on pseudo-differential operators and Fourier integral operators.

Life

Hitoshi Kumano-go was born on 4 October 1935 in Arita, Wakayama Prefecture. After finishing high school in 1954, he studied mathematics and graduated from Osaka University in 1958. He started a doctoral work at the same university under the supervision of Mitio Nagumo. He received his PhD in 1963. He was promoted to associate professor in 1967 and to full professorship in 1971. From 1967 to 1969, Kumano-go had been a visiting member at the Courant Institute of Mathematical Sciences of New York University. In May 1981 he entered Osaka University Hospital where a brain tumor was discovered. Kumano-go died on 24 August 1982 in Osaka at the age of 46.

Work

Kumano-Go first studied the local and global uniqueness of the solutions of the Cauchy problem for partial differential equations. While at the Courant Institute of Mathematical Sciences, Kumano-Go collaborated with Kurt Friedrichs, Peter Lax and Louis Nirenberg among others. He made major contributions to the theory of pseudo-differential operators. Its work contributed to the construction of the fundamental solution of a first order hyperbolic partial differential equation. His treatise on pseudo differential operators was first published in Japanese in 1974 and translated into English in 1981.

Kumano-Go also made important contribution to the study of Fourier integral operators.

References

  1. ^ Tanabe, Hiroki (1983). "Hitoshi Kumano-go: 1935--1982". Osaka Journal of Mathematics. 20 (1): i–vii. ISSN 0030-6126.
  2. Kumano-go, Hitoshi (1962). "On the uniqueness of the solution of the Cauchy problem and the unique continuation theorem for elliptic equation". Osaka Mathematical Journal. 14 (1): 181–212. ISSN 0388-0699.
  3. Kumano-Go, Hitoshi (1977). "Fundamental solutions for operators of regularly hyperbolic type". Journal of the Mathematical Society of Japan. 29 (3): 399–406. doi:10.2969/jmsj/02930399. ISSN 0025-5645.
  4. Kumano-go, Hitoshi (1982). Pseudo-differential operators. Cambridge, Massachusetts: MIT Press. ISBN 978-0-262-11080-8. OCLC 8386677.
  5. Kumano-go, Hitoshi (1976). "A calculus of Fourier integral operators on Rn and the fundamental solution for an operator of hyperbolic type". Communications in Partial Differential Equations. 1 (1): 1–44. doi:10.1080/03605307608820002. ISSN 0360-5302.
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