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Directional and Anisotropic Regularity and Irregularity Criteria in Triebel Wavelet Bases |
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| Authors: | Mourad Ben?Slimane Hnia Ben?Braiek |
| Affiliation: | 1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia 2. Institut de Mathématiques de Jussieu, Paris, France 3. Université Tunis El Manar, Tunis, Tunisia |
| Abstract: | Many natural mathematical objects, as well as many multi-dimensional signals and images from real physical problems, need to distinguish local directional behaviors (for tracking contours in image processing for example). Using some results of Jaffard and Triebel, we obtain criteria of directional and anisotropic regularities by decay conditions on Triebel anisotropic wavelet coefficients (resp. wavelet leaders). |
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