## Mathematics Faculty Publications

#### Authors

Published by The Arabian Journal for Science and Engineering: Special Issue on Fractals and Wavelets, 28:1C (2003): 73-88. http://www.kfupm.edu.sa/publications/ajse/

#### Abstract

We develop a {\em macroelement} based technique for constructing orthogonal univariate multiwavelets. We illustrate the technique with two examples. In the first example we provide a new construction of the symmetric, orthogonal, continuous scaling vector given in \cite{GHM}. In the second example, we construct a continuous orthogonal scaling vector with three components. The components of this scaling vector are symmetric or antisymmetric and provide approximation order 3, (equivalently, the components of $\Psi$ are orthogonal to polynomials of degree 2 or less.) We believe this second example to be new.

#### Disciplines

Applied Mathematics | Mathematics

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