A Continuous Euler Transformation and its Application to the Fourier Transform of a Slowly Decaying Function
نویسنده
چکیده
The Euler transformation is a linear sequence transformation to accelerate the convergence of an alternating series. The sequence of weights of the transformation is extended to a continuous weight function which can accelerate Fourier type integrals including Hankel transforms with a slowly convergent integrand. We show that the continuous weight function can also be used to compute the Fourier transform of a slowly decaying function using FFT.
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