現代確率論の起源, 形成および発展(II) : 無限次元確率解析における飛田の仕事 : 「ホワイトノイズ解析と関連した話題」の起りから現在に至る展望 (数学史の研究)

Abstract

These two papers with the same title are composed of Parts I (Briefly we write (I)) and II (similarly to the Former, (II)). The former, namely (I), means contents of a subtitle given here, especially in the theory of stochastic processes, those on the origin, formation and development of its modern theory which were described as a central theme in (I): innovation theory by Paul P. Lévy (1886-1971) and T. Hida (飛田武幸 1927) and its development occurred before and after the theory with the related historical background([1], [2]). After our arguments have finished, an outline of the perspectives on stochastic analysis including white noise analysis as a main theme in (II) will be given ([3]), finally, we shall refer to those on promising creative subjects in the probabilistic category.