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VOL. 23 | 1994 Stationary Phase Method with Estimate of Remainder Term over a Space of Large Dimension

Abstract

Let $r_d(\nu)$ denote the remainder term of the stationary phase method over $R^d$. Then an estimate of $\nu^{d/2+1}r_d(\nu)$, as $d \to \infty$, is given under certain assumptions, which are tolerable for application to Feynman path integrals.

Information

Published: 1 January 1994
First available in Project Euclid: 15 August 2018

zbMATH: 0817.46045
MathSciNet: MR1275394

Digital Object Identifier: 10.2969/aspm/02310057

Rights: Copyright © 1994 Mathematical Society of Japan

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