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J-GLOBAL ID：200901071024614894
Update date: Sep. 13, 2024
KAWABE Jun
カワベ ジユン | KAWABE Jun
Affiliation and department：
Job title：
Professor
Research field (1)：
Basic analysis
Research keywords (10)：
measures on infinite dimensional spaces
, nonadditive measure
, nonlinear integral
, fuzzy measure
, Choquet integral
, Sugeno integral
, measure theory
, measures on topological spaces
, weak convergence of measures
, vector measure
Research theme for competitive and other funds (18)：
- 2020 - 2023 Refinement of convergence theorems of nonlinear integrals with applications to the topological properties of function spaces determined by nonlinear integrals
- 2011 - 2014 測度の弱収束性を用いた非加法的測度の作る空間の位相構造の研究
- 2013 - 2013 不確実さと曖昧さの数理
- 2008 - 2010 順序空間の正則性を用いたリース空間値非加法的測度とショケ積分の研究
- 2006 - 2007 順序空間の正則性を用いたRiesz空間値非加法的測度の研究
- 2004 - 2005 測度の弱収束の理論とファジィ測度論の研究(海外先進教育実践プログラム)
- 2005 - Nonadditive Measure Theory
- 2003 - 2004 順序構造をもつ空間に値をとる正値ベクトル測度の弱収束とその応用
- 2003 - Weak convergence of vector measures with values in Riesz spacesand its applications
- 2001 - 2002 Weak convergence of positive vector measures with applications to real analysis
- 2001 - 京都大学数理解析研究所共同研究集会「函数解析学と数理情報の接点」
- 1999 - 2000 Weak convergence of vector measures with applications to real analysis
- 2000 - 京都大学数理解析研究所共同研究集会「函数解析学の応用としての情報数理の研究」
- 1997 - 1998 Weak convergence of vector measures on topological spaces and its applications
- 1998 - Mathematical basis on fuzziness and uncertainty
- 1996 - 測度の弱収束の研究と確率的アルゴリズムへの応用(海外研究開発動向調査)
- 1995 - 1995 無限次元空間上の測度の弱収束の研究と応用
- 1995 - Weak convergence of vector measures on topological spaces
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Papers (70)：
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Jun Kawabe. The continuous Choquet integral representation theorems in an abstract setting. Fuzzy Sets and Systems. 2024. 497. 109115 (20 pages)-20 pages
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Jun Kawabe. Topological and topological linear properties of the Sugeno-Lorentz spaces. Fuzzy Sets and Systems. 2023. 467. 108507 (19 pages)
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Jun Kawabe. The equivalence of the topologies on the space of measurable functions defined by nonadditive measures and nonlinear integrals. Research Bulletin. 2023. 98. 97-114
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Jun Kawabe, Naoki Yamada. The completeness and separability of function spaces in nonadditive measure theory. Fuzzy Sets and Systems. 2022
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Alexander Zimper, Sebastian Zimper, Jun Kawabe. Base topologies and convergence in nonadditive measure. Fuzzy Sets and Systems. 2022
ｍore...
MISC (2)：
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河邊 淳. 書評: R. R. Phelps: Lectures on Choquet's Theorem, 2nd ed. (Lecture Notes in Math., 1957). 数学. 2018. 70. 3. 325-329
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Shoumei Li, Jun Kawabe. Editorial Special issue: Nonlinear mathematics for uncertainty and its applications. Int. J. Approximate Reasoning. 2013. 54. 355-356
Books (5)：
-
Probability and Statistics
2021 ISBN:9784563010225
-
微分積分の基礎
培風館 2018 ISBN:9784563012199
-
応用解析の基礎
培風館 2013 ISBN:9784563011499
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数理情報科学辞典
朝倉出版 1995
-
微分方程式概説
培風館 1994
Education (3)：
- 1983 - 1986 Tokyo Institute of Technology Graduate School, Division of Science and Engineering Department of Information Sciences
- 1981 - 1983 Tokyo Institute of Technology Graduate School, Division of Science and Engineering Department of Information Sciences
- 1977 - 1981 Tokyo Institute of Technology Faculty of Science
Professional career (1)：
- Doctor of Science (Tokyo Institute of Technology (Japan))
Work history (2)：
- 2023/05/01 - 信州大学 特任教授
- 2003/04/01 - 2023/03/31 Faculty of Engineering, Shinshu University Professor
Association Membership(s) (2)：
International Society for Mathematical Sciences
, Mathematical Society of Japan
