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math.CA2019
Fourier series windowed by a bump function
Paul Bergold, Caroline Lasser
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 seri…
math.CA2017
On the higher derivates of arctan
Oliver Deiser, Caroline Lasser
WWe give a rational closed form expression for the higher derivatives of the inverse tangent function and discuss its relation to Chebyshev polynomials, trigonometric expansions an…