TY - JOUR
T1 - A new class of amplitude functions for the stationary phase method on an abstract wiener space
AU - Taniguchi, Setsuo
N1 - Publisher Copyright:
© 2015 Faculty of Mathematics, Kyushu University.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
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U2 - 10.2206/kyushujm.69.219
DO - 10.2206/kyushujm.69.219
M3 - Article
AN - SCOPUS:84930972091
SN - 1340-6116
VL - 69
SP - 219
EP - 228
JO - Kyushu Journal of Mathematics
JF - Kyushu Journal of Mathematics
IS - 1
ER -