Coarse-scale representations and smoothed Wigner transforms

Smoothed Wigner transforms have been used in signal processing, as a regularized version of the Wigner transform, and have been proposed as an alternative to it in the homogenization and/or semiclassical limits of wave equations. We derive explicit, closed formulations for the coarse-scale represent...

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Veröffentlicht in:	Journal de mathématiques pures et appliquées 2009-03, Vol.91 (3), p.296-338
Hauptverfasser:	Athanassoulis, Agissilaos G., Mauser, Norbert J., Paul, Thierry
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Exact sciences and technology General mathematics General, history and biography Husimi transform Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Operator theory Partial differential equations Regularized semiclassical asymptotics Sciences and techniques of general use Smoothed Wigner transform
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