Excerpt from Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase
To obtain such a result Van Kampen[h] applied the method of stationary phase, originally developed for single integrals, in a purely formal manner. It is clear from the formal uses of the method of stationary phase that the asymptotic series representation of (l) is a sum of asymptotic series determined by the behavior of f(x,y) in the neighborhood of certain critical points of the domain D of integra tion.
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