1989 Fiscal Year Final Research Report Summary
A Study on the Theory of Functions of Several Complex Variables and Analytic Differential Equations
| Project/Area Number |
63460006
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| Research Category |
Grant-in-Aid for General Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
解析学
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| Research Institution | Kyushu University |
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Principal Investigator |
KAJIWARA Joji Kyushu Univ. Fac. of Sci. Professor, 理学部, 教授 (90037169)
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| Co-Investigator(Kenkyū-buntansha) |
YOSHIDA Masaaki Kyushu Univ. Fac. of Sci. Associate Prof., 理学部, 助教授 (30030787)
TANAKA Shunichi Kyushu Univ. Fac. of Sci. Professor, 理学部, 教授 (00028127)
KATO Mitsuyoshi Kyushu Univ. Fac. of Sci. Professor, 理学部, 教授 (60012481)
SHIOHAMA Katsuhiro Kyushu Univ. Fac. of Sci. Professor, 理学部, 教授 (20016059)
SHIRATANI Katsumi Kyushu Univ. Fac.of Sci.Professor, 理学部, 教授 (80037168)
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| Project Period (FY) |
1988 – 1989
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| Keywords | Uniform Approximation / Good Boundary / Global Solution / Numerical Analysis / Residue Theorem / Monodromy / K3 surface / Hypergeometric Equation |
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| Research Abstract |
The representative Kajiwara did Infinite Dimensional Complex Analysis and showed firstly that the principle of analytic prolongation concerning behavior of analytic automorphisms of domains accomplishes in case of infinite dimension, that is, he proves that a domain with good boundary coinciding locally with an open ball in a neighborhood of a boundary point coincides globally with the ball. Secondly, he reduces the condition of surjectivity of the composition ST of analytic linear differential operatos S and T in the z and w complex plains respectively to the locality of S and T in parameter spaces. Thirdly,he works on the Flutter Analysis of blades of jet engines, establishes a method of seeking real solutions of algebraic equations of complex coefficients and of higher order. making use of the residue theorem and contour integrals and obtains a program in order to obtain numerical solutions by a super computer. The sharer Yosida investigates analytic linear partial differential equations associated to several complex structures, finds equations which describes several important kinds of families of algebraic varieties and elucidates the structures.
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Research Products
(67 results)
