A Note on Directional Wavelet Transform: Distributional Boundary Values and Analytic Wavefront Sets

By using a particular class of directional wavelets (namely, the conical wavelets, which are wavelets strictly supported in a proper convex cone in the k-space of frequencies), in this paper, it is shown that a tempered distribution is obtained as a finite sum of boundary values of analytic function...

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Bibliographic Details
Main Authors: Felipe A. Apolonio, Daniel H. T. Franco, Fábio N. Fagundes
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/758694