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Asymptotic behaviour of a class of singular Fourier Integrals
Published online by Cambridge University Press: 01 March 1997
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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