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Asymptotic Expansion of a Class of Multi-Dimensional Integrals

Published online by Cambridge University Press:  20 November 2018

A. Sellier
A. Sellier*
Affiliation:
LADHYX Ecole polytechnique 91128 Palaiseau Cedex France
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Abstract

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The aim of this paper is to derive the expansion of the following class of multi-dimensional integrals

with respect to the large parameter λ when Ω is a subset of ℝn, a > 0, w is a strictly positive and bounded function on Σ and fp means an integration in the finite part sense of Hadamard (see Section 2). This is performed for weak assumptions bearing on pseudofunction K and by extending to higher dimensional cases the tools developed in the one-dimensional context. The range of applications of the proposed results is outlined by the exhibition of several examples.

Keywords

41A6041A60
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 5 , 01 October 1996 , pp. 1079 - 1090
Copyright
Copyright © Canadian Mathematical Society 1996

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