Nonseparable Radial Frame Multiresolution Analysis in Multidimensions

In this article we present a nonseparable multiresolution structure based on frames which is defined by radial frame scaling functions. The Fourier transform of these functions is the indicator (characteristic) function of a measurable set. We also construct the resulting frame multiwavelets, which...

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Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 24; no. 7-8; pp. 907 - 928
Main Authors Papadakis, Manos, Gogoshin, G., Kakadiaris, I. A., Kouri, D. J., Hoffman, D. K.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 31.12.2003
Subjects
1991 Mathematics Subject Classification: 42C40
Frames
Nonseparable multiresolution analysis
Wavelets
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Summary:In this article we present a nonseparable multiresolution structure based on frames which is defined by radial frame scaling functions. The Fourier transform of these functions is the indicator (characteristic) function of a measurable set. We also construct the resulting frame multiwavelets, which can be isotropic as well. Our construction can be carried out in any number of dimensions and for a big variety of dilation matrices.
ISSN:0163-0563
1532-2467
DOI:10.1081/NFA-120026385