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arXiv · 1901.04365

Fourier series windowed by a bump function

Paul Bergold·Caroline Lasser
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Abstract

We study the Fourier transform windowed by a bump function. We transfer Jackson's classical results on the convergence of the Fourier series of a periodic function to windowed series of a not necessarily periodic function. Numerical experiments illustrate the obtained theoretical results.

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Paul Bergold, Caroline Lasser. 2019-01-14. Fourier series windowed by a bump function. https://arxiv.org/abs/1901.04365

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