A new class of amplitude functions for the stationary phase method on an abstract wiener space

研究成果: Contribution to journalArticle査読

抄録

A stochastic oscillatory integral is a probabilistic counterpart to a Feynman path integral, and the stationary phase method for stochastic oscillatory integrals relates to the semi-classical limits in the Feynman path integral theory.A complete stationary phasemethod for stochastic oscillatory integrals has not been achieved yet. In this paper, a new class of amplitude functions of stochastic oscillatory integrals is introduced, and it is shown that the stationary phase method works for the class.

本文言語英語
ページ(範囲)219-228
ページ数10
ジャーナルKyushu Journal of Mathematics
69
1
DOI
出版ステータス出版済み - 2015

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

フィンガープリント

「A new class of amplitude functions for the stationary phase method on an abstract wiener space」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル