IJPAM: Volume 106, No. 3 (2016)

OPERATIONAL PARAMETERIZATIONS OF
MRA FRAME MULTIWAVELETS

Zhongyan Li
Department of Mathematics and Physics
North China Electric Power University
Beijing, 102206, P.R. CHINA


Abstract. The set of all orthogonal multiwavelets with multiresolution analysis of multiplicity $r$ in $L^2(\R)$ 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.

Received: November 20, 2015

AMS Subject Classification: 42C40, 46C05, 47B38

Key Words and Phrases: multiresolution analysis of multiplicity $r$, $r$-MSW-triple, $r$-FMSW-triple, orthogonal multiwavelet of multiplicity $r$, $r$-scaling function

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DOI: 10.12732/ijpam.v106i3.4 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 3
Pages: 741 - 752


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