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Asymptotic behaviour of a class of singular Fourier Integrals

Published online by Cambridge University Press:  01 March 1997

A. SELLIER
A. SELLIER
Affiliation:
LADHYX, Ecole polytechnique, 91128 Palaiseau Cedex, France
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Abstract

This paper presents the asymptotic expansion, with respect to the large real parameter λ, of the singular Fourier integral

formula here

where 0 < b [les ] + ∞, the symbol fp designates an integration in the finite part sense of Hadamard and complex function K(x, u) belongs to a specific set of pseudo-functions which may present a singular behaviour of logarithmic nature at the endpoints.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 121 , Issue 2 , March 1997 , pp. 359 - 384
Copyright
© Cambridge Philosophical Society 1997

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