Multiwavelet on the interval with arbitrary integer dilation factor

摘要

In ¡his paper, the cons¡ruction and properties of interval multi-wavelets with compact supports 7, multiplicity r and arbitrary integer dilation factor a are introducedFisrtWe obtain the parametric expressions of interval multi-wavelets. Then, we deduce the decomposition and reconstruction formulas of interval multi-wavelets. Finallywe give an example to explain our theory.