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Low-Pass Filters and Scaling Functions for Multivariable Wavelets

  Published:2008-04-01
 Printed: Apr 2008
  • Eva Curry
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Abstract

We show that a characterization of scaling functions for multiresolution analyses given by Hern\'{a}ndez and Weiss and that a characterization of low-pass filters given by Gundy both hold for multivariable multiresolution analyses.
Keywords: multivariable multiresolution analysis, low-pass filter, scaling function multivariable multiresolution analysis, low-pass filter, scaling function
MSC Classifications: 42C40, 60G35 show english descriptions Wavelets and other special systems
Signal detection and filtering [See also 62M20, 93E10, 93E11, 94Axx]
42C40 - Wavelets and other special systems
60G35 - Signal detection and filtering [See also 62M20, 93E10, 93E11, 94Axx]
 

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