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arXiv:1406.6244 [math.FA]AbstractReferencesReviewsResources

On regular families of cardinal interpolators and multiresolution analyses

Jeff Ledford

Published 2014-06-24Version 1

In this short note, we investigate the relationship between so-called regular families of cardinal interpolators and multiresolution analyses. We focus our studies on examples of regular families of cardinal interpolators whose Fourier transform is unbounded at the origin. In particular, we show that when this is the case there is a multiresolution analysis corresponding to each member of a regular family of cardinal interpolators.

Comments: keywords: multiresoultion analyses, splines, multiquadric 7 pages
Categories: math.FA, math.CA
Subjects: 42C15, 41A15, 41A63
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