Multiresolution analysis for compactly supported interpolating tensor product wavelets
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Details
| Original language | English |
|---|---|
| Article number | 1550010 |
| Number of pages | 36 |
| Journal | International Journal of Wavelets Multiresolution and Information ProcessIng |
| Volume | 13 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 6 Mar 2015 |
| Publication type | A1 Journal article-refereed |
Abstract
We construct multidimensional interpolating tensor product multiresolution analyses (MRA's) of the function spaces C<inf>0</inf>(R<sup>n</sup>,K), K = R or K = C, consisting of real or complex valued functions on R<sup>n</sup> vanishing at infinity and the function spaces Cu(R<sup>n</sup>,K) consisting of bounded and uniformly continuous functions on R<sup>n</sup>. We also construct an interpolating dual MRA for both of these spaces. The theory of the tensor products of Banach spaces is used. We generalize the Besov space norm equivalence from the one-dimensional case to our n-dimensional construction.
ASJC Scopus subject areas
Keywords
- Besov space, injective tensor norm, Interpolating wavelets, multiresolution analysis, multivariate wavelets, projective tensor norm, tensor Product