Abstract
We shall prove in this chapter the stationary phase method for oscillatory integrals over a space of large dimension. An estimate of the remainder term is given, which is independent of the dimension. This theorem enables us to discuss the time slicing approximation of Feynman path integrals when the dimension of the space goes to \(\infty \). This was the central tool of our discussions in Sect. 5.4 of Chap. 5.
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