This article is cited in 4 papers

Exact Asymptotics of Laplace Integrals for Nonsmooth Functions

E. I. Ostrovskii

Industrial Mathemathics Institute

Abstract: In this paper, we calculate the exact asymptotics with remainder of integrals of Laplace type in an arbitrary space, without imposing any constraints on the smoothness of the functions. As a special case, we derive the classical Laplace formula. Some examples are given.

UDC: 517.928

Received: 10.08.2001
Revised: 08.04.2002

DOI: 10.4213/mzm236

 English version: Mathematical Notes, 2003, 73:6, 838–842

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