Asymptotic Expansion of Multiple Integrals and the Method of Stationary Phase (Classic Reprint)

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Excerpt from Asymptotic Expansion of Multiple Integrals and the Method of Stationary PhaseTo 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.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.