Resolution of the Wavefront Set Using General Continuous Wavelet Transforms

We consider the problem of characterizing the wavefront set of a tempered distribution u ∈ S ′ ( R d ) in terms of its continuous wavelet transform, where the latter is defined with respect to a suitably chosen dilation group H ⊂ GL ( R d ) . In this paper we develop a comprehensive and unified appr...

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Veröffentlicht in:	The Journal of fourier analysis and applications 2016-10, Vol.22 (5), p.997-1058
Hauptverfasser:	Fell, Jonathan, Führ, Hartmut, Voigtlaender, Felix
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Approximation Approximations and Expansions Cones Continuous wavelet transform Dilation Fourier Analysis Mathematical analysis Mathematical Methods in Physics Mathematics Mathematics and Statistics Partial Differential Equations Signal,Image and Speech Processing Wavelet transforms
Online-Zugang:	Volltext
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