Abstract
The set of all orthogonal multiwavelets with multiresolution analysis of multiplicity r in L(R ) is parameterized by a set of unitary operators which satisfies certain commutative properties. The parameterization of frame multiwavelets with multiresolution analysis of multiplicity r is discussed by a set of co-isometry operators, and the Riesz multiwavelets with multiresolution analysis is obtained by a set of invertible operators. AMS Subject Classification: 42C40, 46C05, 47B38
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