Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623863 | Journal of Mathematical Analysis and Applications | 2006 | 12 Pages |
Abstract
In this paper we define multiresolution analysis (MRA) in function space Lp(Ω,μ) for p>1, where Ω is a compact subset in Rn and μ is a probability measure defined on Ω. We establish a general framework for construction of MRA in Lp(Ω,μ) and its conjugate space Lq(Ω,μ) with p−1+q−1=1, p, q>1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis