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J-GLOBAL ID:200901028418219181   Update date: Jan. 30, 2024

Furuta Koji

Furuta Koji
Research field  (1): Basic analysis
Research keywords  (2): 関数解析 ,  functional analysis
Research theme for competitive and other funds  (4):
  • 2004 - 2007 Limit theorems for U- and V-statistics for dependent random variables and their applications
  • 1995 - 1995 局所コンパクト群上の関数空間と従順性
  • Study on positive definite functions on groups
  • 群上の正定値関数の研究
MISC (5):
  • Koji Furuta. Integral representations of positive definite functions on convex sets of certain semigroups of rational numbers. Nihonkai Mathematical Journal. 2017. 28. 79-88
  • Koji Furuta. A moment problem on rational numbers. Hokkaido Mathematical Journal. 2017. 46. 2. 209-226
  • K. Furuta, N. Sakakibara. Radon perfectness of conelike *-semigroups in Q(∞). Acta Mathematica Hungarica. 2001. 90. 1-2. 1-8
  • 古田公司, 榊原暢久. Operator moment problems on abelian *-semigroups. Mathematica Japonica. 2000. Vol. 51. No.3. 433-441
  • K. Furuta, N. Sakakibara. An example of a positive definite function which is not of positive type on Z^2. Mathematical Journal of Ibaraki University. 1999. 31. 43-46
Books (4):
  • 機械系のための関数論入門
    コロナ社 2019 ISBN:9784339061185
  • フーリエ解析学初等講義
    日新出版 2018 ISBN:9784817302595
  • 東京都市大学数学シリーズ(1) 微分積分演習
    学術図書出版社 2010
  • 東京都市大学数学シリーズ(2) 線形代数演習
    学術図書出版社 2010
Lectures and oral presentations  (1):
  • Q(∞)の中の可換 * 半群の * 構造と完全性
    (日本数学会年会 1999)
Education (1):
  • - 1993 Hokkaido University Graduate School, Division of Natural Science
Professional career (1):
  • - (Hokkaido University)
Association Membership(s) (1):
日本数学会
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