Continuous shearlet frames and resolution of the wavefront set
نویسندگان
چکیده
منابع مشابه
Continuous Shearlet Frames and Resolution of the Wavefront Set
In recent years directional multiscale transformations like the curveletor shearlet transformation have gained considerable attention. The reason for this is that these transforms are unlike more traditional transforms like wavelets able to efficiently handle data with features along edges. The main result confirming this property for shearlets is contained in [21] where it is shown that for ve...
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It is known that the Continuous Wavelet Transform of a distribution f decays rapidly near the points where f is smooth, while it decays slowly near the irregular points. This property allows the identification of the singular support of f . However, the Continuous Wavelet Transform is unable to describe the geometry of the set of singularities of f and, in particular, identify the wavefront set...
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2010
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-010-0264-2