Wavelets in a generalized Sobolev space
The generalized Sobolev space H-omega(omega)(R-n) is defined as a generalization of the usual Sobolev space H-s(R-n). A multiresolution analysis for the generalized Sobolev space is developed. Wavelets orthogonal with respect to this space are constructed. Some interesting special cases are discussed. (c) 2005 Elsevier Ltd. All rights reserved.
wavelets generalized sobolev space multiresolution analysis ultradistributions oscillation property