# A Double Exponential Formula for the Fourier Transforms

@article{Ooura2005ADE, title={A Double Exponential Formula for the Fourier Transforms}, author={Takuya Ooura}, journal={Publications of The Research Institute for Mathematical Sciences}, year={2005}, volume={41}, pages={971-977} }

In this paper, we propose a new and efficient method that is applicable for the computation of the Fourier transform of a function which may possess a singular point or slowly converge at infinity. The proposed method is based on a generalization of the method of the double exponential (DE) formula; the DE formula is a powerful numerical quadrature proposed by H. Takahasi and M. Mori in 1974 [1]. Although it is a widely applicable formula, it is not effective in computing the Fourier transform…

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