Wave fronts via Fourier series coefficients

2014/07/31 by Snjezana Maksimovic, Stevan Pilipovic, Petar Sokoloski +1 · 1 citation
Mathematics · #math.AP #math.FA #msc:35A18 #msc:46F10

paper · pdf · doi:10.2298/pim150107001m

published as Publ. Inst. Math. (Beograd) 97 (2015), 1-10 · 10 pages

arxiv created 2015/04/14 · arxiv updated 2015/07/28

Abstract

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∈\mathscrD'(ℝ^d) in terms of Fourier series coefficients.

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