Abstract
We calculate the coefficients of Hermite function expansions of the Heaviside functions, \(x^{p}_{+}\) with \(p\in \mathbb {N}\), \(\frac{1}{x\pm i0}\), the signum \(\text {sgn}(x)\) and the principal value \(\text{ p.v. }\frac{1}{x}\), explicitly.
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