Survey of the Theories for Analogue of Wiener Measure Space

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概要

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• We consider the analogue of Wiener measure on the space of all real continuous functions, and then establish the measure-valued measure and the operator-valued measure on our space and we investigate their important properties, for example, the integration formula, the rotation theorem, the Bartle integral, the Bochner integral and the Dobrakov integral, the simple formula for conditional expectation, the measure-valued Feynman-Kac formula and Volterra integral equation and integral transform.

• 東北大学大学院情報科学研究科の論文

著者

• Im Man

  Department Of Mathematics Education Han Nam University

• Ryu Kun

  Department Of Mathematics Education Han Nam University

• Choi Ki

  Department Of Information Security Kon Yang University

• CHOI Ki

  Department of Information Security, Konyang University

• IM Man

  Department of Mathematics, Han Nam University

関連論文

• Introduction to Analogue of Wiener Measure Space and Its Applications (Introductory Workshop on Feynman Path Integral and Microlocal Analysis : RIMS共同研究報告集)
• Survey of the Theories for Analogue of Wiener Measure Space

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