Fast Computation of Singular Oscillatory Fourier Transforms

Fast Computation of Singular Oscillatory Fourier Transforms

We consider the problem of the numerical evaluation of singular oscillatory Fourier transforms  ∫ab‍x-aαb-xβf(x)eiωxdx, where α>-1  and  β>-1. Based on substituting the original interval of integration by the paths of steepest descent, if f is analytic in the complex region G containing [a, b]...

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Bibliographic Details
Main Authors: Hongchao Kang, Xinping Shao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/984834
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