On multiresolution analysis of multiplicityd |
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Authors: | L De Michele P M Soardi |
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Institution: | (1) Dipartimento di Matematica, Università di Milano, Via Saldini 50, I-20133 Milano, Italy |
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Abstract: | In this paper we study some basic properties of multiresolution analysis of multiplicityd in several variables and discuss some examples related to the spaces of cardinal splines with respect to the unidiagonal or the crisscross partition of the plane. Furthermore, in analogy with 8], we show that if the scaling functions are compactly supported, then it is possible to find compactly supported mother wavelets
l
,l=1,...,2
n
d–d, in such a way that the family {2
jn/2
l
(2
j
x–v)} is a semiorthogonal basis ofL
2 (
n
). |
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Keywords: | 42C15 |
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