$$f(x) = \sum_{k=-\infty}^{k = \infty} \frac{ik}{|k|(k^2+\lambda)}e^{i2\pi kx}$$
How to simplify this Fourier expansion?
$$f(x) = \sum_{k=-\infty}^{k = \infty} \frac{ik}{|k|(k^2+\lambda)}e^{i2\pi kx}$$
How to simplify this Fourier expansion?
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