Directional and anisotropic regularity and irregularity criteria in Triebel wavelet bases

Journal Article

• رابط المنشور على الويب: http://link.springer.com/article/10.1007/s00041-012-9226-5
• المجلة \ الصحيفة: Journal of Fourier Analysis and Applications
• رقم العدد: 18(2012), 893–914

مستخلص المنشور

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).