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河邊淳  カワベ ジユン

教員組織学術研究院(工学系)電話番号
教育組織工学部 工学基礎教育部門FAX番号
職名教授メールアドレス
住所〒380-8553 長野県長野市若里4-17-1 信州大学工学部ホームページURL

更新日:2017/08/08

プロフィール

兼担研究科・学部
大学院工学系研究科
大学院総合工学系研究科
研究分野
解析学基礎
キーワード:ベクトル測度 , 位相空間上の測度 , 非加法的測度 , 非線形積分 , ショケ積分
現在の研究課題
非加法的測度論
キーワード:非加法的測度 , 非線形積分 , 2005-
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
キーワード:順序空間 , 測度の弱収束 , ベクトル測度 , リース空間 , 2003-
曖昧さと不確実さの数理
キーワード:ファジィ集合 , ファジィ数 , 確率 , 1998-
位相空間上のベクトル測度の弱収束の研究
キーワード:位相空間 , 測度の弱収束 , ベクトル測度 , バナハ空間 , 1995-
所属学会
所属学会
日本数学会
国際数理科学協会
学歴
出身大学院
1986 , 東京工業大学 , 理工学研究科 , 情報科学専攻
1983 , 東京工業大学 , 理工学研究科 , 情報科学専攻

出身学校・専攻等(大学院を除く)
1981 , 東京工業大学 , 理学部 , 情報科学科

取得学位
理学博士 , 東京工業大学
研究職歴等
研究職歴
2003- , 信州大学工学部 教授
2005-2006 , マサチューセッツ工科大学客員研究員
1996-1996 , マサチューセッツ工科大学 客員研究員
1987-2003 , 信州大学工学部 助教授
1986-1987 , 信州大学工学部 講師

研究活動業績

研究業績(著書・
発表論文等)
著書
応用解析の基礎
培風館 , :1-86 2013(Jun. 12)
Author:大野博通・加藤幹雄・河邊 淳・鈴木章斗


数理情報科学辞典
朝倉出版 1995
Author:大矢雅則他編


微分方程式概説
培風館 , :203頁 1994
Author:奥山安男,河邊 淳,木村盛茂,酒井雄二,山崎基弘


論文
The monotone convergence theorems for nonlinear integrals on a topological space
Linear and Nonlinear Analysis,2(2):281-300 2016(Dec. 31)
Author:Jun Kawabe


非加法的測度と非線形積分ー理論的展開に焦点を当ててー
数学,68(3):266-292 2016
Author:河邊 淳


A unified approach to the monotone convergence theorem for nonlinear integrals
Fuzzy Sets Systems,304:1-19 2016
Author:Jun Kawabe


Weak convergence of nonadditive measures based on nonlinear integrals
Fuzzy Sets Systems,289:1-15 2016
Author:Jun Kawabe


The structural characteristics of Choquet functionals
J. Nonlinear Convex Anal.,16(11):2181-2192 2015
Author:Jun Kawabe


The bounded convergence in measure theorem for nonlinear integral functionals
Fuzzy Sets Systems,271:31-42 2015
Author:Jun Kawabe


Weak convergence of nonadditive measures defined by Choquet and Sugeno integrals
Proceedings of the Fourth Intenational Symposium on Banach and Function Spaces,4:63-79 2014
Author:Jun Kawabe


The Choquet integral representability of comonotonically additive functionals in locally compact spaces
Int. J. Approximate Reasoning,54:418-426 2013
Author:Jun Kawabe


Metrizability of the Lévy topology on the space of nonadditive measure on metric spaces
Fuzzy Sets Systems,204:93-105 2012
Author:Jun Kawabe


The bounded convergence theorem for Riesz space-valued Choquet integrals
Bull. Malays. Math. Sci. Soc.,35:537-545 2012
Author:Jun Kawabe


Riesz type integral representations for comonotonically additive functionals
Advances in Intelligent and Soft Computing,100:35-42 2011(Sep. 15)
Author:Jun Kawabe


共単調加法的汎関数のRiesz型積分表示定理
知能と情報(日本知能情報ファジィ学会誌),23(4):592-595 2011(Aug. 15)
Author:河邊 淳,相馬匡博


The continuity and compactnessof Riesz space-valued indirect product measures
Fuzzy Sets Systems,175:65-74 2011
Author:Jun Kawabe


A study of Riesz space-valued non-additive measures
Integrated Uncertainty Management and Applications, Advances in Soft Computing,68:91-102 2010
Author:Jun Kawabe


Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals
Fuzzy Sets Systems,161:642-650 2010
Author:Jun Kawabe


Continuity and compactness of the indirect product of two non-additive measures
Fuzzy Sets Systems,160:1327-1333 2009
Author:Jun Kawabe


Some properties on the regularity of Riesz space-valued non-additive measures
Banach andfunction spaces II (M.Kato and L.Maligranda, eds.),2:337-348 2008
Author:Jun Kawabe


The Chouquet integral in Riesz space
Fuzzy Sets and Fuzzy Sets Systems,159:629-645 2008
Author:Jun Kawabe


The countably subnormed Riesz space with applications to non-additive measures
2005 Symposium on Applied Functional Analysis (M.Tsukada, W.Takahashi, M.Murofushi, eds.),1:279-292 2007
Author:Jun Kawabe


The Alexandroff theorem for Riesz space-valued non-additive measures
Fuzzy Sets Systems,158:2413-2421 2007
Author:Jun Kawabe


Regularity and Lusin's theorem for Riesz space-valued fuzzy measures
Fuzzy Sets Systems,158:895-903 2007
Author:Jun Kawabe


The Egoroff property and the Egoroff theorem in Riesz space-valued non-additive measure theory
Fuzzy Sets Systems,158:50-57 2007
Author:Jun Kawabe


The Egoroff theorem for non-additive measures in Riesz spaces
Fuzzy Sets Systems,157:2762-2770 2006
Author:Jun Kawabe


Uniformity for weak order convergence of Riesz space-valued measures
Bull. Austral. Math. Soc.,71:265-274 2005
Author:Jun Kawabe


Borel products of Riesz space-valued measures on topologicalspaces
Sci. Math. Japonicae,60(3):563-576 2004
Author:Jun Kawabe


Weak convergence of vector measures
Banach and function spaces (eds M. Kato and L. Maligranda, Yokohama Publishers, 2003),:253-277 2004
Author:Jun Kawabe


The portmanteau theorem for Dedekind complete Riesz space-valued measures
Nonlinear Analysis and convex analysis (eds W. Takahashi and T. Tanaka, Yokohama Publishers, 2003),:149-158 2004
Author:Jun Kawabe


Prokhorov-LeCam-Varadarajan's compactness criteria for vector measures on metric spaces
Prog. Probab.,55:35-42 2003
Author:Jun Kawabe


Borel injective tensor product and convolution of vectormeasures and their weak convergence
Contemp. Math.,321:101-114 2003
Author:Jun Kawabe


Joint continuity of injective tensor produces of vector measures in Banach lattices
J. Austral. Math. Soc.,74:185-199 2003
Author:Jun Kawabe


Weak convergence of injective tensor products of vector measures
Proc. 3rd Asian Math. Conference 2000 (edited by T. Sunada, P. W. Sy and Y. Lo), World Scientific,:267-279 2002
Author:Jun Kawabe


Compactness criteria for the weak convergence of vector measures in locally convex spaces
Publ. Math. Debrecen,60(2):115-130 2002
Author:Jun Kawabe


Compactness and metrizability in the space of vector measures in locally convex spaces
Sci. Math. Japonicae,55(3):493-503 2002
Author:Jun Kawabe


Optimization of fuzzy feedback control in L^∞ space
Proc. 10th IEEE International Conference of Fuzzy Systems,:896-899 2001
Author:T. Mitsuishi, J. Kawabe, K. Wasaki, Y. Shidama


Sequential compactness for the weak topology of vector measures in certain nuclear spaces
Georgian Math. J.,8(2):283-295 2001
Author:Jun Kawabe


Fuzzy optimal control using simple inference method and function type inference method
Proc. Amer. Control Conference,:1944-1948 2000
Author:T. Mitsuishi, K. Wasaki, K. Ohkubo, J. Kawabe, Y. Shidama


Optimization of fuzzy feedback control determined by product-sum-gravity method
J. Nonlinear Convex Anal.,1(2):201-211 2000
Author:T. Mitsuishi, J. Kawabe, K. Wasaki, Y. Shidama


Continuity of fuzzy controller
Mech. Math. Appl.,1(1):31-38 2000
Author:T. Mitsuishi, J. Kawabe, Y. Shidama


Existence of optimal fuzzy rules in fuzzy control
Proc. Appl. Math.,2:77-86 2000
Author:T. Mitsuishi, J. Kawabe, K. Wasaki, Y. Shidama


A type of Strassen's theorem for positive vector measures with values in dual spaces
Proc. Amer. Math. Soc.,128(11):3291-3300 2000
Author:Jun Kawabe


Membership functions in L^2 space and its application to fuzzy optimal control
Proc. IEEE International Conference on Systems, Man and Cybernetics,3:51-55 1999
Author:T. Mitsuishi, J. Kawabe, K. Wasaki, P. N. Kawamoto, Y. Shidama


Weak convergence of compound probability measures on uniform spaces
Tamkang J. Math.,30(4):271-288 1999
Author:Jun Kawabe


Weak convergence of tensor products of vector measures with values in nuclear spaces
Bull. Austral. Math. Soc.,59(3):449-458 1999
Author:Jun Kawabe


Fuzzyoptimal control in L^2 space
Proc. IFAC Artificial Intelligence in Real-Time Control,7:57-61 1998
Author:T. Mitsuishi, K. Wasaki, J. Kawabe, P. N. Kawamoto, Y. Shidama


Compactness criteria for the weak topology of vector measures
Proc. Banach spaces and related topics,2:15-20 1997
Author:Jun Kawabe


The structure of measurable mappings with values in locally convex spaces
Proc. Amer. Math. Soc.,124(5):1513-1515 1996
Author:Jun Kawabe


Uniform tightness for transition probabilities
Tamkang J. Math.,26(4):283-298 1995
Author:Jun Kawabe


Weak compactness of vector measures
Proc. Appl. Funct. Anal.,14:136-146 1995
Author:Jun Kawabe


A criterion for weak compactness of measures on product spaces with applications
Yokohama Math. J.,42:159-169 1994
Author:Jun Kawabe


Convergence of compound probability measures on topological spaces
Colloq. Math.,67(2):161-176 1994
Author:Jun Kawabe


Uniform tightness of probability measures on nuclear spaces
Proc. Appl. Funct. Anal.,11:70-79 1988
Author:Jun Kawabe


Characterization of Hilbert spaces by the strong law of large numbers
J. Multivar. Anal.,20(1):155-160 1986
Author:Jun Kawabe


Probabilistic characterization of certain Banach spaces
Kodai Math. J.,9(1):68-76 1986
Author:Jun Kawabe


Stochastic convergence of random elements in a Banach space
Proc. Appl. Funct. Anal.,8:48-59 1985
Author:Jun Kawabe


On the compactness criterion for probability measures on Banach spaces
Proc. Japan Acad.,61(10):337-340 1985
Author:Jun Kawabe


Characterization of L^2-convergence of random elementsand its application
Sem. Appl. Funct. Anal.,7:112-117 1984
Author:Jun Kawabe


A note on independent vector valued random variables
Sem. Appl. Funct. Anal.,5:110-117 1982
Author:Jun Kawabe


その他
Editorial Special issue: Nonlinear mathematics for uncertainty and its applications
Int. J. Approximate Reasoning , 54:355-356 2013
Author:Shoumei Li, Jun Kawabe

研究費
科学研究費補助金(研究代表者)
2017 - 2019 , 分割型積分を含む非線形積分の収束定理の摂動法による統一的解析 , 基盤研究(C)(一般)
2014 - 2016 , 非加法的測度の積算概念としての非線形積分の研究と摂動法による解析手法の開発 , 基礎研究(C)
2011 - 2013 , 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 , 基盤研究C(一般)
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 , 基盤研究(C)
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 , 基盤研究(C)
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 , 基盤研究(C)
2001 - 2002 , 正値ベクトル測度の弱収束の研究と解析学への応用 , 基盤研究(C)
1999 - 2000 , ベクトル測度の弱収束の研究と解析学への応用 , 基盤研究(C)
1997 - 1998 , 位相空間上のベクトル測度の弱収束の研究と応用 , 基盤研究(C)
1995 - 1995 , 無限次元空間上の測度の弱収束の研究と応用 , 基盤研究(C)

受託事業
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」
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」
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)
2013 - 2013 , 不確実さと曖昧さの数理
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)