Wavelet frames for distributions; local and pointwise regularity
Tom 154 / 2003
Studia Mathematica 154 (2003), 59-88 MSC: 46E35, 42B35, 42C40. DOI: 10.4064/sm154-1-5
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.