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

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Abstract

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.

Original languageEnglish
Pages (from-to)219-228
Number of pages10
JournalKyushu Journal of Mathematics
Volume69
Issue number1
DOIs
Publication statusPublished - 2015

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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