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arxiv: 1407.4155 · v2 · pith:5SDGDXZSnew · submitted 2014-07-15 · 🧮 math.AP · math.FA

Wave fronts via Fourier series coefficients

classification 🧮 math.AP math.FA
keywords wavecoefficientsfourierfrontseriesdescriptiondistributiondistributions
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Motivated by the product of periodic distributions, we give a new description of the wave front and the Sobolev-type wave front of a distribution $f\in\mathscr{D}'(\mathbb{R}^d)$ in terms of Fourier series coefficients.

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