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