EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 97(111), pp. 1–10 (2015)

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WAVE FRONTS VIA FOURIER SERIES COEFFICIENTS

Snjezana Maksimovic, Stevan Pilipovic, Petar Sokoloski, Jasson Vindas

Faculty of Electrical Engineering, University of Banja Luka, Bosnia and Herzegovina; Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia; Faculty of Mathematics and Natural Sciences, St. Cyril and Methodius University, Skopje, Macedonia; Department of Mathematics, Ghent University, Ghent, Belgium

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 $f\in\mathscr{D}'(\R^d)$ in terms of Fourier series coefficients.

Keywords: wave fronts; Fourier series; multiplication of distributions

Classification (MSC2000): 35A18; 46F10

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Electronic fulltext finalized on: 16 Apr 2015. This page was last modified: 21 Apr 2015.

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