This paper deals with wavelet frames for a large class of distributions on euclidean n-space, including all compactly supported distributions. These representations characterize the global, local, and pointwise regularity of the distribution considered.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-1-5, author = {Hans Triebel}, title = {Wavelet frames for distributions; local and pointwise regularity}, journal = {Studia Mathematica}, volume = {157}, year = {2003}, pages = {59-88}, zbl = {1047.46027}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-1-5} }
Hans Triebel. Wavelet frames for distributions; local and pointwise regularity. Studia Mathematica, Tome 157 (2003) pp. 59-88. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-1-5/