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Multivariate nonhomogeneous refinement equations

✍ Scribed by Thomas B. Dinsenbacher; Douglas P. Hardin


Publisher
SP Birkhäuser Verlag Boston
Year
1999
Tongue
English
Weight
433 KB
Volume
5
Category
Article
ISSN
1069-5869

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📜 SIMILAR VOLUMES


Fredholm properties of multivariate refi
✍ Victor D. Didenko 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 96 KB

## Abstract The solvability of multivariate refinement equations in the Hilbert space __L__~2~(ℝ^__s__^) is studied. It is shown that the set of all __L__~2~‐solutions of such equations either consists of the trivial solution only or it contains a subspace isomorphic to a space __L__~∞~(__S__~__M__

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✍ Josip Derado 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 195 KB

In this paper we present an algorithm for the construction of uniformly continuous, compactly supported refinable interpolating functions for arbitrary dilation matrices. We investigate the asymptotic behavior of their symbols and we develop a link to the theory of translation invariant MRA.