紀要論文 A NEW CLASS OF AMPLITUDE FUNCTIONS FOR THE STATIONARY PHASE METHOD ON AN ABSTRACT WIENER SPACE

Taniguchi, Setsuo

69 ( 1 )  , pp.219 - 228 , 2015-06-09 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NII書誌ID(NCID):AA10994346
内容記述
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 phase method 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.

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