Analysis of Singularity Lines by Transforms with Parabolic Scaling
نویسندگان
چکیده
Using Hart Smith’s, curvelet, and shearlet transforms, we investigate L functions with sufficiently smooth background and present here sufficient and necessary conditions, which include the special case with 1-dimensional singularity line. Specifically, we consider the situation where regularity on a line in a non-parallel direction is much lower than directional regularity along the line in a neighborhood and how this is reflected in the behavior of the three transforms.
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