IJPAM: Volume 106, No. 3 (2016)


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?

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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