An Improved Remainder Estimate of Stationary Phase Method for Some Oscillatory Integrals over a Space of Large Dimension
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In discussing time slicing approximations of Feynman's path integrals, one can use stationary phase method for some oscillatory integrals over a space of large dimension. Previously estimates of remainder term of such stationary phase method were given in  and . In the present note an improved remainder estimate is given for such stationary phase method. The estimate is sharp enough to give us the second term of semiclassical asymptotic expansion if it is applied to Feynman path integrals of some kind discussed in  and . See our forthcoming paper .
- Funkcialaj Ekvacioj
Funkcialaj Ekvacioj 49(1), 59-86, 2006
Division of Functional Equations, The Mathematical Society of Japan