This is an announcement for the paper "Multiresolution analysis for compactly supported interpolating tensor product wavelets" by Tommi Hoynalanmaa.
Abstract: We construct a one-dimensional interpolating multiresolution analysis (MRA) of C0(R,K), K = R or K = C, and multidimensional interpolating tensor product MRAs of the function spaces C0(Rn,K) consisting of real or complex valued functions on Rn vanishing at infinity and the function spaces Cu(Rn,K) consisting of bounded and uniformly continuous functions on Rn. The theory of the tensor products of Banach spaces is used. We also generalize the Besov space norm equivalence result from Donoho (1992, Interpolating Wavelet Transforms) for our n-dimensional construction.
Archive classification: math.FA
Mathematics Subject Classification: 46A32 (Primary), 46B28 (Secondary), 15A69 (Secondary), 46E10
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1005.3371
or